Finding the Third Proportional to 142,177,694,318 and 296,123,352,028

Step by Step Solution

1. Step 1: Write the proportion equation
   142,177,694,318 : 296,123,352,028 = 296,123,352,028 : x
2. Step 2: Convert to fraction form
   142,177,694,318/296,123,352,028 = 296,123,352,028/x
3. Step 3: Cross multiply
   142,177,694,318x = 296,123,352,028 × 296,123,352,028
4. Step 4: Simplify right side
   142,177,694,318x = 87,689,039,616,298,820,042,752
5. Step 5: Solve for x
   x = 87,689,039,616,298,820,042,752/142,177,694,318
6. Step 6: Final answer
   x = 616,756,658,186.97