Finding the Third Proportional to 108,781.50 and 233,632.50

Step by Step Solution

1. Step 1: Write the proportion equation
   108,781.50 : 233,632.50 = 233,632.50 : x
2. Step 2: Convert to fraction form
   108,781.50/233,632.50 = 233,632.50/x
3. Step 3: Cross multiply
   108,781.50x = 233,632.50 × 233,632.50
4. Step 4: Simplify right side
   108,781.50x = 54,584,145,056.25
5. Step 5: Solve for x
   x = 54,584,145,056.25/108,781.50
6. Step 6: Final answer
   x = 501,777.83