Finding the Third Proportional to 1,161,147,069,114 and 1,614,482,186,766

Step by Step Solution

1. Step 1: Write the proportion equation
   1,161,147,069,114 : 1,614,482,186,766 = 1,614,482,186,766 : x
2. Step 2: Convert to fraction form
   1,161,147,069,114/1,614,482,186,766 = 1,614,482,186,766/x
3. Step 3: Cross multiply
   1,161,147,069,114x = 1,614,482,186,766 × 1,614,482,186,766
4. Step 4: Simplify right side
   1,161,147,069,114x = 2,606,552,731,384,725,131,755,520
5. Step 5: Solve for x
   x = 2,606,552,731,384,725,131,755,520/1,161,147,069,114
6. Step 6: Final answer
   x = 2,244,808,431,866.97