Finding the Third Proportional to 507.38 and 766.59

Step by Step Solution

1. Step 1: Write the proportion equation
   507.38 : 766.59 = 766.59 : x
2. Step 2: Convert to fraction form
   507.38/766.59 = 766.59/x
3. Step 3: Cross multiply
   507.38x = 766.59 × 766.59
4. Step 4: Simplify right side
   507.38x = 587,665.98
5. Step 5: Solve for x
   x = 587,665.98/507.38
6. Step 6: Final answer
   x = 1,158.25