Finding the Third Proportional to 498.75 and 634.50

Step by Step Solution

1. Step 1: Write the proportion equation
   498.75 : 634.50 = 634.50 : x
2. Step 2: Convert to fraction form
   498.75/634.50 = 634.50/x
3. Step 3: Cross multiply
   498.75x = 634.50 × 634.50
4. Step 4: Simplify right side
   498.75x = 402,590.25
5. Step 5: Solve for x
   x = 402,590.25/498.75
6. Step 6: Final answer
   x = 807.20