Finding the Third Proportional to 103,620 and 226,500

Step by Step Solution

1. Step 1: Write the proportion equation
   103,620 : 226,500 = 226,500 : x
2. Step 2: Convert to fraction form
   103,620/226,500 = 226,500/x
3. Step 3: Cross multiply
   103,620x = 226,500 × 226,500
4. Step 4: Simplify right side
   103,620x = 51,302,250,000
5. Step 5: Solve for x
   x = 51,302,250,000/103,620
6. Step 6: Final answer
   x = 495,099.88