Finding the Third Proportional to 82,674 and 181,548

Step by Step Solution

1. Step 1: Write the proportion equation
   82,674 : 181,548 = 181,548 : x
2. Step 2: Convert to fraction form
   82,674/181,548 = 181,548/x
3. Step 3: Cross multiply
   82,674x = 181,548 × 181,548
4. Step 4: Simplify right side
   82,674x = 32,959,676,304
5. Step 5: Solve for x
   x = 32,959,676,304/82,674
6. Step 6: Final answer
   x = 398,670.40