Finding the Third Proportional to 111,138 and 172,348.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,138 : 172,348.50 = 172,348.50 : x
2. Step 2: Convert to fraction form
   111,138/172,348.50 = 172,348.50/x
3. Step 3: Cross multiply
   111,138x = 172,348.50 × 172,348.50
4. Step 4: Simplify right side
   111,138x = 29,704,005,452.25
5. Step 5: Solve for x
   x = 29,704,005,452.25/111,138
6. Step 6: Final answer
   x = 267,271.37