Finding the Third Proportional to 109,314 and 227,952

Step by Step Solution

1. Step 1: Write the proportion equation
   109,314 : 227,952 = 227,952 : x
2. Step 2: Convert to fraction form
   109,314/227,952 = 227,952/x
3. Step 3: Cross multiply
   109,314x = 227,952 × 227,952
4. Step 4: Simplify right side
   109,314x = 51,962,114,304
5. Step 5: Solve for x
   x = 51,962,114,304/109,314
6. Step 6: Final answer
   x = 475,347.30