Finding the Third Proportional to 111,182 and 172,416

Step by Step Solution

1. Step 1: Write the proportion equation
   111,182 : 172,416 = 172,416 : x
2. Step 2: Convert to fraction form
   111,182/172,416 = 172,416/x
3. Step 3: Cross multiply
   111,182x = 172,416 × 172,416
4. Step 4: Simplify right side
   111,182x = 29,727,277,056
5. Step 5: Solve for x
   x = 29,727,277,056/111,182
6. Step 6: Final answer
   x = 267,374.91