Finding the Third Proportional to 82,028 and 173,776

Step by Step Solution

1. Step 1: Write the proportion equation
   82,028 : 173,776 = 173,776 : x
2. Step 2: Convert to fraction form
   82,028/173,776 = 173,776/x
3. Step 3: Cross multiply
   82,028x = 173,776 × 173,776
4. Step 4: Simplify right side
   82,028x = 30,198,098,176
5. Step 5: Solve for x
   x = 30,198,098,176/82,028
6. Step 6: Final answer
   x = 368,143.78