Finding the Third Proportional to 469.50 and 611.25

Step by Step Solution

1. Step 1: Write the proportion equation
   469.50 : 611.25 = 611.25 : x
2. Step 2: Convert to fraction form
   469.50/611.25 = 611.25/x
3. Step 3: Cross multiply
   469.50x = 611.25 × 611.25
4. Step 4: Simplify right side
   469.50x = 373,626.56
5. Step 5: Solve for x
   x = 373,626.56/469.50
6. Step 6: Final answer
   x = 795.80