Finding the Third Proportional to 111,371 and 172,715

Step by Step Solution

1. Step 1: Write the proportion equation
   111,371 : 172,715 = 172,715 : x
2. Step 2: Convert to fraction form
   111,371/172,715 = 172,715/x
3. Step 3: Cross multiply
   111,371x = 172,715 × 172,715
4. Step 4: Simplify right side
   111,371x = 29,830,471,225
5. Step 5: Solve for x
   x = 29,830,471,225/111,371
6. Step 6: Final answer
   x = 267,847.75