Finding the Third Proportional to 467.50 and 864.50

Step by Step Solution

1. Step 1: Write the proportion equation
   467.50 : 864.50 = 864.50 : x
2. Step 2: Convert to fraction form
   467.50/864.50 = 864.50/x
3. Step 3: Cross multiply
   467.50x = 864.50 × 864.50
4. Step 4: Simplify right side
   467.50x = 747,360.25
5. Step 5: Solve for x
   x = 747,360.25/467.50
6. Step 6: Final answer
   x = 1,598.63