Finding the Third Proportional to 111,190 and 172,427

Step by Step Solution

1. Step 1: Write the proportion equation
   111,190 : 172,427 = 172,427 : x
2. Step 2: Convert to fraction form
   111,190/172,427 = 172,427/x
3. Step 3: Cross multiply
   111,190x = 172,427 × 172,427
4. Step 4: Simplify right side
   111,190x = 29,731,070,329
5. Step 5: Solve for x
   x = 29,731,070,329/111,190
6. Step 6: Final answer
   x = 267,389.79