Finding the Third Proportional to 414.33 and 619.37

Step by Step Solution

1. Step 1: Write the proportion equation
   414.33 : 619.37 = 619.37 : x
2. Step 2: Convert to fraction form
   414.33/619.37 = 619.37/x
3. Step 3: Cross multiply
   414.33x = 619.37 × 619.37
4. Step 4: Simplify right side
   414.33x = 383,613.29
5. Step 5: Solve for x
   x = 383,613.29/414.33
6. Step 6: Final answer
   x = 925.86