Finding the Third Proportional to 106,626 and 226,372.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,626 : 226,372.50 = 226,372.50 : x
2. Step 2: Convert to fraction form
   106,626/226,372.50 = 226,372.50/x
3. Step 3: Cross multiply
   106,626x = 226,372.50 × 226,372.50
4. Step 4: Simplify right side
   106,626x = 51,244,508,756.25
5. Step 5: Solve for x
   x = 51,244,508,756.25/106,626
6. Step 6: Final answer
   x = 480,600.50