Finding the Third Proportional to 238,164,564 and 510,789,165

Step by Step Solution

1. Step 1: Write the proportion equation
   238,164,564 : 510,789,165 = 510,789,165 : x
2. Step 2: Convert to fraction form
   238,164,564/510,789,165 = 510,789,165/x
3. Step 3: Cross multiply
   238,164,564x = 510,789,165 × 510,789,165
4. Step 4: Simplify right side
   238,164,564x = 260,905,571,081,397,216
5. Step 5: Solve for x
   x = 260,905,571,081,397,216/238,164,564
6. Step 6: Final answer
   x = 1,095,484,427.66