Finding the Third Proportional to 82,131 and 176,538

Step by Step Solution

1. Step 1: Write the proportion equation
   82,131 : 176,538 = 176,538 : x
2. Step 2: Convert to fraction form
   82,131/176,538 = 176,538/x
3. Step 3: Cross multiply
   82,131x = 176,538 × 176,538
4. Step 4: Simplify right side
   82,131x = 31,165,665,444
5. Step 5: Solve for x
   x = 31,165,665,444/82,131
6. Step 6: Final answer
   x = 379,462.88