Finding the Third Proportional to 106,591,837,487 and 237,016,088,492

Step by Step Solution

1. Step 1: Write the proportion equation
   106,591,837,487 : 237,016,088,492 = 237,016,088,492 : x
2. Step 2: Convert to fraction form
   106,591,837,487/237,016,088,492 = 237,016,088,492/x
3. Step 3: Cross multiply
   106,591,837,487x = 237,016,088,492 × 237,016,088,492
4. Step 4: Simplify right side
   106,591,837,487x = 56,176,626,204,047,577,186,304
5. Step 5: Solve for x
   x = 56,176,626,204,047,577,186,304/106,591,837,487
6. Step 6: Final answer
   x = 527,025,591,531.80