Finding the Third Proportional to 82,701 and 181,521

Step by Step Solution

1. Step 1: Write the proportion equation
   82,701 : 181,521 = 181,521 : x
2. Step 2: Convert to fraction form
   82,701/181,521 = 181,521/x
3. Step 3: Cross multiply
   82,701x = 181,521 × 181,521
4. Step 4: Simplify right side
   82,701x = 32,949,873,441
5. Step 5: Solve for x
   x = 32,949,873,441/82,701
6. Step 6: Final answer
   x = 398,421.71