Finding the Third Proportional to 111,327 and 226,540.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,327 : 226,540.50 = 226,540.50 : x
2. Step 2: Convert to fraction form
   111,327/226,540.50 = 226,540.50/x
3. Step 3: Cross multiply
   111,327x = 226,540.50 × 226,540.50
4. Step 4: Simplify right side
   111,327x = 51,320,598,140.25
5. Step 5: Solve for x
   x = 51,320,598,140.25/111,327
6. Step 6: Final answer
   x = 460,989.68