Finding the Third Proportional to 108,727 and 224,912.25

Step by Step Solution

1. Step 1: Write the proportion equation
   108,727 : 224,912.25 = 224,912.25 : x
2. Step 2: Convert to fraction form
   108,727/224,912.25 = 224,912.25/x
3. Step 3: Cross multiply
   108,727x = 224,912.25 × 224,912.25
4. Step 4: Simplify right side
   108,727x = 50,585,520,200.06
5. Step 5: Solve for x
   x = 50,585,520,200.06/108,727
6. Step 6: Final answer
   x = 465,252.61