Finding the Third Proportional to 111,391 and 172,635

Step by Step Solution

1. Step 1: Write the proportion equation
   111,391 : 172,635 = 172,635 : x
2. Step 2: Convert to fraction form
   111,391/172,635 = 172,635/x
3. Step 3: Cross multiply
   111,391x = 172,635 × 172,635
4. Step 4: Simplify right side
   111,391x = 29,802,843,225
5. Step 5: Solve for x
   x = 29,802,843,225/111,391
6. Step 6: Final answer
   x = 267,551.63