Finding the Third Proportional to 500.55 and 773.51

Step by Step Solution

1. Step 1: Write the proportion equation
   500.55 : 773.51 = 773.51 : x
2. Step 2: Convert to fraction form
   500.55/773.51 = 773.51/x
3. Step 3: Cross multiply
   500.55x = 773.51 × 773.51
4. Step 4: Simplify right side
   500.55x = 598,314.34
5. Step 5: Solve for x
   x = 598,314.34/500.55
6. Step 6: Final answer
   x = 1,195.30