Finding the Third Proportional to 111,684 and 172,710

Step by Step Solution

1. Step 1: Write the proportion equation
   111,684 : 172,710 = 172,710 : x
2. Step 2: Convert to fraction form
   111,684/172,710 = 172,710/x
3. Step 3: Cross multiply
   111,684x = 172,710 × 172,710
4. Step 4: Simplify right side
   111,684x = 29,828,744,100
5. Step 5: Solve for x
   x = 29,828,744,100/111,684
6. Step 6: Final answer
   x = 267,081.62