Finding the Third Proportional to 82,402 and 176,469

Step by Step Solution

1. Step 1: Write the proportion equation
   82,402 : 176,469 = 176,469 : x
2. Step 2: Convert to fraction form
   82,402/176,469 = 176,469/x
3. Step 3: Cross multiply
   82,402x = 176,469 × 176,469
4. Step 4: Simplify right side
   82,402x = 31,141,307,961
5. Step 5: Solve for x
   x = 31,141,307,961/82,402
6. Step 6: Final answer
   x = 377,919.32