Finding the Third Proportional to 498.75 and 761.25

Step by Step Solution

1. Step 1: Write the proportion equation
   498.75 : 761.25 = 761.25 : x
2. Step 2: Convert to fraction form
   498.75/761.25 = 761.25/x
3. Step 3: Cross multiply
   498.75x = 761.25 × 761.25
4. Step 4: Simplify right side
   498.75x = 579,501.56
5. Step 5: Solve for x
   x = 579,501.56/498.75
6. Step 6: Final answer
   x = 1,161.91