Finding the Third Proportional to 111,784.50 and 169,121.25

Step by Step Solution

1. Step 1: Write the proportion equation
   111,784.50 : 169,121.25 = 169,121.25 : x
2. Step 2: Convert to fraction form
   111,784.50/169,121.25 = 169,121.25/x
3. Step 3: Cross multiply
   111,784.50x = 169,121.25 × 169,121.25
4. Step 4: Simplify right side
   111,784.50x = 28,601,997,201.56
5. Step 5: Solve for x
   x = 28,601,997,201.56/111,784.50
6. Step 6: Final answer
   x = 255,867.29