Finding the Third Proportional to 83,676 and 181,230

Step by Step Solution

1. Step 1: Write the proportion equation
   83,676 : 181,230 = 181,230 : x
2. Step 2: Convert to fraction form
   83,676/181,230 = 181,230/x
3. Step 3: Cross multiply
   83,676x = 181,230 × 181,230
4. Step 4: Simplify right side
   83,676x = 32,844,312,900
5. Step 5: Solve for x
   x = 32,844,312,900/83,676
6. Step 6: Final answer
   x = 392,517.72