Finding the Third Proportional to 111,766.50 and 169,094.25

Step by Step Solution

1. Step 1: Write the proportion equation
   111,766.50 : 169,094.25 = 169,094.25 : x
2. Step 2: Convert to fraction form
   111,766.50/169,094.25 = 169,094.25/x
3. Step 3: Cross multiply
   111,766.50x = 169,094.25 × 169,094.25
4. Step 4: Simplify right side
   111,766.50x = 28,592,865,383.06
5. Step 5: Solve for x
   x = 28,592,865,383.06/111,766.50
6. Step 6: Final answer
   x = 255,826.79