Finding the Third Proportional to 103,614 and 226,662

Step by Step Solution

1. Step 1: Write the proportion equation
   103,614 : 226,662 = 226,662 : x
2. Step 2: Convert to fraction form
   103,614/226,662 = 226,662/x
3. Step 3: Cross multiply
   103,614x = 226,662 × 226,662
4. Step 4: Simplify right side
   103,614x = 51,375,662,244
5. Step 5: Solve for x
   x = 51,375,662,244/103,614
6. Step 6: Final answer
   x = 495,837.07