Finding the Third Proportional to 684,141,822 and 1,493,687,114

Step by Step Solution

1. Step 1: Write the proportion equation
   684,141,822 : 1,493,687,114 = 1,493,687,114 : x
2. Step 2: Convert to fraction form
   684,141,822/1,493,687,114 = 1,493,687,114/x
3. Step 3: Cross multiply
   684,141,822x = 1,493,687,114 × 1,493,687,114
4. Step 4: Simplify right side
   684,141,822x = 2,231,101,194,529,648,896
5. Step 5: Solve for x
   x = 2,231,101,194,529,648,896/684,141,822
6. Step 6: Final answer
   x = 3,261,167,674.28