Finding the Third Proportional to 624.59 and 914.10

Step by Step Solution

1. Step 1: Write the proportion equation
   624.59 : 914.10 = 914.10 : x
2. Step 2: Convert to fraction form
   624.59/914.10 = 914.10/x
3. Step 3: Cross multiply
   624.59x = 914.10 × 914.10
4. Step 4: Simplify right side
   624.59x = 835,574.53
5. Step 5: Solve for x
   x = 835,574.53/624.59
6. Step 6: Final answer
   x = 1,337.81