Finding the Third Proportional to 111,901.50 and 172,884.38

Step by Step Solution

1. Step 1: Write the proportion equation
   111,901.50 : 172,884.38 = 172,884.38 : x
2. Step 2: Convert to fraction form
   111,901.50/172,884.38 = 172,884.38/x
3. Step 3: Cross multiply
   111,901.50x = 172,884.38 × 172,884.38
4. Step 4: Simplify right side
   111,901.50x = 29,889,007,119.14
5. Step 5: Solve for x
   x = 29,889,007,119.14/111,901.50
6. Step 6: Final answer
   x = 267,101.04