Finding the Third Proportional to 111,405 and 172,585.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,405 : 172,585.50 = 172,585.50 : x
2. Step 2: Convert to fraction form
   111,405/172,585.50 = 172,585.50/x
3. Step 3: Cross multiply
   111,405x = 172,585.50 × 172,585.50
4. Step 4: Simplify right side
   111,405x = 29,785,754,810.25
5. Step 5: Solve for x
   x = 29,785,754,810.25/111,405
6. Step 6: Final answer
   x = 267,364.61