Finding the Third Proportional to 82,422 and 176,505

Step by Step Solution

1. Step 1: Write the proportion equation
   82,422 : 176,505 = 176,505 : x
2. Step 2: Convert to fraction form
   82,422/176,505 = 176,505/x
3. Step 3: Cross multiply
   82,422x = 176,505 × 176,505
4. Step 4: Simplify right side
   82,422x = 31,154,015,025
5. Step 5: Solve for x
   x = 31,154,015,025/82,422
6. Step 6: Final answer
   x = 377,981.79