Finding the Third Proportional to 142,047,812,496 and 309,101,762,145

Step by Step Solution

1. Step 1: Write the proportion equation
   142,047,812,496 : 309,101,762,145 = 309,101,762,145 : x
2. Step 2: Convert to fraction form
   142,047,812,496/309,101,762,145 = 309,101,762,145/x
3. Step 3: Cross multiply
   142,047,812,496x = 309,101,762,145 × 309,101,762,145
4. Step 4: Simplify right side
   142,047,812,496x = 95,543,899,361,144,161,173,504
5. Step 5: Solve for x
   x = 95,543,899,361,144,161,173,504/142,047,812,496
6. Step 6: Final answer
   x = 672,617,886,064.49