Finding the Third Proportional to 109,536.75 and 233,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,536.75 : 233,185.50 = 233,185.50 : x
2. Step 2: Convert to fraction form
   109,536.75/233,185.50 = 233,185.50/x
3. Step 3: Cross multiply
   109,536.75x = 233,185.50 × 233,185.50
4. Step 4: Simplify right side
   109,536.75x = 54,375,477,410.25
5. Step 5: Solve for x
   x = 54,375,477,410.25/109,536.75
6. Step 6: Final answer
   x = 496,413.10