Finding the Third Proportional to 109,019.75 and 233,799.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,019.75 : 233,799.50 = 233,799.50 : x
2. Step 2: Convert to fraction form
   109,019.75/233,799.50 = 233,799.50/x
3. Step 3: Cross multiply
   109,019.75x = 233,799.50 × 233,799.50
4. Step 4: Simplify right side
   109,019.75x = 54,662,206,200.25
5. Step 5: Solve for x
   x = 54,662,206,200.25/109,019.75
6. Step 6: Final answer
   x = 501,397.28