Finding the Third Proportional to 508.78 and 763.59

Step by Step Solution

1. Step 1: Write the proportion equation
   508.78 : 763.59 = 763.59 : x
2. Step 2: Convert to fraction form
   508.78/763.59 = 763.59/x
3. Step 3: Cross multiply
   508.78x = 763.59 × 763.59
4. Step 4: Simplify right side
   508.78x = 583,075.42
5. Step 5: Solve for x
   x = 583,075.42/508.78
6. Step 6: Final answer
   x = 1,146.02