Finding the Third Proportional to 109,666 and 227,948

Step by Step Solution

1. Step 1: Write the proportion equation
   109,666 : 227,948 = 227,948 : x
2. Step 2: Convert to fraction form
   109,666/227,948 = 227,948/x
3. Step 3: Cross multiply
   109,666x = 227,948 × 227,948
4. Step 4: Simplify right side
   109,666x = 51,960,290,704
5. Step 5: Solve for x
   x = 51,960,290,704/109,666
6. Step 6: Final answer
   x = 473,804.92