Finding the Third Proportional to 111,772.50 and 169,103.25

Step by Step Solution

1. Step 1: Write the proportion equation
   111,772.50 : 169,103.25 = 169,103.25 : x
2. Step 2: Convert to fraction form
   111,772.50/169,103.25 = 169,103.25/x
3. Step 3: Cross multiply
   111,772.50x = 169,103.25 × 169,103.25
4. Step 4: Simplify right side
   111,772.50x = 28,595,909,160.56
5. Step 5: Solve for x
   x = 28,595,909,160.56/111,772.50
6. Step 6: Final answer
   x = 255,840.29