Finding the Third Proportional to 110,314.50 and 233,629.50

Step by Step Solution

1. Step 1: Write the proportion equation
   110,314.50 : 233,629.50 = 233,629.50 : x
2. Step 2: Convert to fraction form
   110,314.50/233,629.50 = 233,629.50/x
3. Step 3: Cross multiply
   110,314.50x = 233,629.50 × 233,629.50
4. Step 4: Simplify right side
   110,314.50x = 54,582,743,270.25
5. Step 5: Solve for x
   x = 54,582,743,270.25/110,314.50
6. Step 6: Final answer
   x = 494,792.10