Finding the Third Proportional to 525.06 and 864.50

Step by Step Solution

1. Step 1: Write the proportion equation
   525.06 : 864.50 = 864.50 : x
2. Step 2: Convert to fraction form
   525.06/864.50 = 864.50/x
3. Step 3: Cross multiply
   525.06x = 864.50 × 864.50
4. Step 4: Simplify right side
   525.06x = 747,360.25
5. Step 5: Solve for x
   x = 747,360.25/525.06
6. Step 6: Final answer
   x = 1,423.37