Finding the Third Proportional to 25,464,096,303,192 and 55,389,765,782,426

Step by Step Solution

1. Step 1: Write the proportion equation
   25,464,096,303,192 : 55,389,765,782,426 = 55,389,765,782,426 : x
2. Step 2: Convert to fraction form
   25,464,096,303,192/55,389,765,782,426 = 55,389,765,782,426/x
3. Step 3: Cross multiply
   25,464,096,303,192x = 55,389,765,782,426 × 55,389,765,782,426
4. Step 4: Simplify right side
   25,464,096,303,192x = 3,068,026,153,432,009,881,881,149,440
5. Step 5: Solve for x
   x = 3,068,026,153,432,009,881,881,149,440/25,464,096,303,192
6. Step 6: Final answer
   x = 120,484,391,705,957.53