Finding the Third Proportional to 508.78 and 736.59

Step by Step Solution

1. Step 1: Write the proportion equation
   508.78 : 736.59 = 736.59 : x
2. Step 2: Convert to fraction form
   508.78/736.59 = 736.59/x
3. Step 3: Cross multiply
   508.78x = 736.59 × 736.59
4. Step 4: Simplify right side
   508.78x = 542,570.35
5. Step 5: Solve for x
   x = 542,570.35/508.78
6. Step 6: Final answer
   x = 1,066.41