Finding the Third Proportional to 111,549.75 and 169,938.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,549.75 : 169,938.50 = 169,938.50 : x
2. Step 2: Convert to fraction form
   111,549.75/169,938.50 = 169,938.50/x
3. Step 3: Cross multiply
   111,549.75x = 169,938.50 × 169,938.50
4. Step 4: Simplify right side
   111,549.75x = 28,879,093,782.25
5. Step 5: Solve for x
   x = 28,879,093,782.25/111,549.75
6. Step 6: Final answer
   x = 258,889.81