Finding the Third Proportional to 82,496 and 176,128

Step by Step Solution

1. Step 1: Write the proportion equation
   82,496 : 176,128 = 176,128 : x
2. Step 2: Convert to fraction form
   82,496/176,128 = 176,128/x
3. Step 3: Cross multiply
   82,496x = 176,128 × 176,128
4. Step 4: Simplify right side
   82,496x = 31,021,072,384
5. Step 5: Solve for x
   x = 31,021,072,384/82,496
6. Step 6: Final answer
   x = 376,031.23