Finding the Third Proportional to 110,308.50 and 233,617.50

Step by Step Solution

1. Step 1: Write the proportion equation
   110,308.50 : 233,617.50 = 233,617.50 : x
2. Step 2: Convert to fraction form
   110,308.50/233,617.50 = 233,617.50/x
3. Step 3: Cross multiply
   110,308.50x = 233,617.50 × 233,617.50
4. Step 4: Simplify right side
   110,308.50x = 54,577,136,306.25
5. Step 5: Solve for x
   x = 54,577,136,306.25/110,308.50
6. Step 6: Final answer
   x = 494,768.18