Finding the Third Proportional to 83,586 and 181,050

Step by Step Solution

1. Step 1: Write the proportion equation
   83,586 : 181,050 = 181,050 : x
2. Step 2: Convert to fraction form
   83,586/181,050 = 181,050/x
3. Step 3: Cross multiply
   83,586x = 181,050 × 181,050
4. Step 4: Simplify right side
   83,586x = 32,779,102,500
5. Step 5: Solve for x
   x = 32,779,102,500/83,586
6. Step 6: Final answer
   x = 392,160.20