Finding the Third Proportional to 142,047,812,498 and 309,101,762,149

Step by Step Solution

1. Step 1: Write the proportion equation
   142,047,812,498 : 309,101,762,149 = 309,101,762,149 : x
2. Step 2: Convert to fraction form
   142,047,812,498/309,101,762,149 = 309,101,762,149/x
3. Step 3: Cross multiply
   142,047,812,498x = 309,101,762,149 × 309,101,762,149
4. Step 4: Simplify right side
   142,047,812,498x = 95,543,899,363,616,971,816,960
5. Step 5: Solve for x
   x = 95,543,899,363,616,971,816,960/142,047,812,498
6. Step 6: Final answer
   x = 672,617,886,072.43