Finding the Third Proportional to 410.59 and 614.46

Step by Step Solution

1. Step 1: Write the proportion equation
   410.59 : 614.46 = 614.46 : x
2. Step 2: Convert to fraction form
   410.59/614.46 = 614.46/x
3. Step 3: Cross multiply
   410.59x = 614.46 × 614.46
4. Step 4: Simplify right side
   410.59x = 377,562.24
5. Step 5: Solve for x
   x = 377,562.24/410.59
6. Step 6: Final answer
   x = 919.56