Finding the Third Proportional to 89,368,095,984 and 194,426,622,288

Step by Step Solution

1. Step 1: Write the proportion equation
   89,368,095,984 : 194,426,622,288 = 194,426,622,288 : x
2. Step 2: Convert to fraction form
   89,368,095,984/194,426,622,288 = 194,426,622,288/x
3. Step 3: Cross multiply
   89,368,095,984x = 194,426,622,288 × 194,426,622,288
4. Step 4: Simplify right side
   89,368,095,984x = 37,801,711,454,320,620,208,128
5. Step 5: Solve for x
   x = 37,801,711,454,320,620,208,128/89,368,095,984
6. Step 6: Final answer
   x = 422,988,887,008.27