Finding the Third Proportional to 1,178,965,231,728 and 1,811,034,829,272

Step by Step Solution

1. Step 1: Write the proportion equation
   1,178,965,231,728 : 1,811,034,829,272 = 1,811,034,829,272 : x
2. Step 2: Convert to fraction form
   1,178,965,231,728/1,811,034,829,272 = 1,811,034,829,272/x
3. Step 3: Cross multiply
   1,178,965,231,728x = 1,811,034,829,272 × 1,811,034,829,272
4. Step 4: Simplify right side
   1,178,965,231,728x = 3,279,847,152,836,262,125,109,248
5. Step 5: Solve for x
   x = 3,279,847,152,836,262,125,109,248/1,178,965,231,728
6. Step 6: Final answer
   x = 2,781,971,057,813.99