Finding the Third Proportional to 83,950 and 181,432

Step by Step Solution

1. Step 1: Write the proportion equation
   83,950 : 181,432 = 181,432 : x
2. Step 2: Convert to fraction form
   83,950/181,432 = 181,432/x
3. Step 3: Cross multiply
   83,950x = 181,432 × 181,432
4. Step 4: Simplify right side
   83,950x = 32,917,570,624
5. Step 5: Solve for x
   x = 32,917,570,624/83,950
6. Step 6: Final answer
   x = 392,109.24