Finding the Third Proportional to 111,842.25 and 169,392.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,842.25 : 169,392.50 = 169,392.50 : x
2. Step 2: Convert to fraction form
   111,842.25/169,392.50 = 169,392.50/x
3. Step 3: Cross multiply
   111,842.25x = 169,392.50 × 169,392.50
4. Step 4: Simplify right side
   111,842.25x = 28,693,819,056.25
5. Step 5: Solve for x
   x = 28,693,819,056.25/111,842.25
6. Step 6: Final answer
   x = 256,556.17