Finding the Third Proportional to 83,416 and 181,520

Step by Step Solution

1. Step 1: Write the proportion equation
   83,416 : 181,520 = 181,520 : x
2. Step 2: Convert to fraction form
   83,416/181,520 = 181,520/x
3. Step 3: Cross multiply
   83,416x = 181,520 × 181,520
4. Step 4: Simplify right side
   83,416x = 32,949,510,400
5. Step 5: Solve for x
   x = 32,949,510,400/83,416
6. Step 6: Final answer
   x = 395,002.28