Finding the Third Proportional to 82,764,156 and 177,411,147

Step by Step Solution

1. Step 1: Write the proportion equation
   82,764,156 : 177,411,147 = 177,411,147 : x
2. Step 2: Convert to fraction form
   82,764,156/177,411,147 = 177,411,147/x
3. Step 3: Cross multiply
   82,764,156x = 177,411,147 × 177,411,147
4. Step 4: Simplify right side
   82,764,156x = 31,474,715,079,855,608
5. Step 5: Solve for x
   x = 31,474,715,079,855,608/82,764,156
6. Step 6: Final answer
   x = 380,294,037.91