Finding the Third Proportional to 623.50 and 955.25

Step by Step Solution

1. Step 1: Write the proportion equation
   623.50 : 955.25 = 955.25 : x
2. Step 2: Convert to fraction form
   623.50/955.25 = 955.25/x
3. Step 3: Cross multiply
   623.50x = 955.25 × 955.25
4. Step 4: Simplify right side
   623.50x = 912,502.56
5. Step 5: Solve for x
   x = 912,502.56/623.50
6. Step 6: Final answer
   x = 1,463.52