Finding the Third Proportional to 498.75 and 798.75

Step by Step Solution

1. Step 1: Write the proportion equation
   498.75 : 798.75 = 798.75 : x
2. Step 2: Convert to fraction form
   498.75/798.75 = 798.75/x
3. Step 3: Cross multiply
   498.75x = 798.75 × 798.75
4. Step 4: Simplify right side
   498.75x = 638,001.56
5. Step 5: Solve for x
   x = 638,001.56/498.75
6. Step 6: Final answer
   x = 1,279.20