Finding the Third Proportional to 111,176 and 172,404

Step by Step Solution

1. Step 1: Write the proportion equation
   111,176 : 172,404 = 172,404 : x
2. Step 2: Convert to fraction form
   111,176/172,404 = 172,404/x
3. Step 3: Cross multiply
   111,176x = 172,404 × 172,404
4. Step 4: Simplify right side
   111,176x = 29,723,139,216
5. Step 5: Solve for x
   x = 29,723,139,216/111,176
6. Step 6: Final answer
   x = 267,352.12