Finding the Third Proportional to 142,177,694,316 and 296,123,352,024

Step by Step Solution

1. Step 1: Write the proportion equation
   142,177,694,316 : 296,123,352,024 = 296,123,352,024 : x
2. Step 2: Convert to fraction form
   142,177,694,316/296,123,352,024 = 296,123,352,024/x
3. Step 3: Cross multiply
   142,177,694,316x = 296,123,352,024 × 296,123,352,024
4. Step 4: Simplify right side
   142,177,694,316x = 87,689,039,613,929,826,811,904
5. Step 5: Solve for x
   x = 87,689,039,613,929,826,811,904/142,177,694,316
6. Step 6: Final answer
   x = 616,756,658,178.99