Finding the Third Proportional to 81,921.38 and 177,876

Step by Step Solution

1. Step 1: Write the proportion equation
   81,921.38 : 177,876 = 177,876 : x
2. Step 2: Convert to fraction form
   81,921.38/177,876 = 177,876/x
3. Step 3: Cross multiply
   81,921.38x = 177,876 × 177,876
4. Step 4: Simplify right side
   81,921.38x = 31,639,871,376
5. Step 5: Solve for x
   x = 31,639,871,376/81,921.38
6. Step 6: Final answer
   x = 386,222.42