Finding the Third Proportional to 511.59 and 747.56

Step by Step Solution

1. Step 1: Write the proportion equation
   511.59 : 747.56 = 747.56 : x
2. Step 2: Convert to fraction form
   511.59/747.56 = 747.56/x
3. Step 3: Cross multiply
   511.59x = 747.56 × 747.56
4. Step 4: Simplify right side
   511.59x = 558,849.69
5. Step 5: Solve for x
   x = 558,849.69/511.59
6. Step 6: Final answer
   x = 1,092.37