Finding the Third Proportional to 82,911 and 181,374

Step by Step Solution

1. Step 1: Write the proportion equation
   82,911 : 181,374 = 181,374 : x
2. Step 2: Convert to fraction form
   82,911/181,374 = 181,374/x
3. Step 3: Cross multiply
   82,911x = 181,374 × 181,374
4. Step 4: Simplify right side
   82,911x = 32,896,527,876
5. Step 5: Solve for x
   x = 32,896,527,876/82,911
6. Step 6: Final answer
   x = 396,769.16