Finding the Third Proportional to 111,598.50 and 172,854

Step by Step Solution

1. Step 1: Write the proportion equation
   111,598.50 : 172,854 = 172,854 : x
2. Step 2: Convert to fraction form
   111,598.50/172,854 = 172,854/x
3. Step 3: Cross multiply
   111,598.50x = 172,854 × 172,854
4. Step 4: Simplify right side
   111,598.50x = 29,878,505,316
5. Step 5: Solve for x
   x = 29,878,505,316/111,598.50
6. Step 6: Final answer
   x = 267,732.14