Finding the Third Proportional to 264.25 and 392.50

Step by Step Solution

1. Step 1: Write the proportion equation
   264.25 : 392.50 = 392.50 : x
2. Step 2: Convert to fraction form
   264.25/392.50 = 392.50/x
3. Step 3: Cross multiply
   264.25x = 392.50 × 392.50
4. Step 4: Simplify right side
   264.25x = 154,056.25
5. Step 5: Solve for x
   x = 154,056.25/264.25
6. Step 6: Final answer
   x = 582.99