Finding the Third Proportional to 82,423 and 176,510

Step by Step Solution

1. Step 1: Write the proportion equation
   82,423 : 176,510 = 176,510 : x
2. Step 2: Convert to fraction form
   82,423/176,510 = 176,510/x
3. Step 3: Cross multiply
   82,423x = 176,510 × 176,510
4. Step 4: Simplify right side
   82,423x = 31,155,780,100
5. Step 5: Solve for x
   x = 31,155,780,100/82,423
6. Step 6: Final answer
   x = 377,998.62