Finding the Third Proportional to 111,156 and 172,386

Step by Step Solution

1. Step 1: Write the proportion equation
   111,156 : 172,386 = 172,386 : x
2. Step 2: Convert to fraction form
   111,156/172,386 = 172,386/x
3. Step 3: Cross multiply
   111,156x = 172,386 × 172,386
4. Step 4: Simplify right side
   111,156x = 29,716,932,996
5. Step 5: Solve for x
   x = 29,716,932,996/111,156
6. Step 6: Final answer
   x = 267,344.39