Finding the Third Proportional to 253.59 and 545.72

Step by Step Solution

1. Step 1: Write the proportion equation
   253.59 : 545.72 = 545.72 : x
2. Step 2: Convert to fraction form
   253.59/545.72 = 545.72/x
3. Step 3: Cross multiply
   253.59x = 545.72 × 545.72
4. Step 4: Simplify right side
   253.59x = 297,808.95
5. Step 5: Solve for x
   x = 297,808.95/253.59
6. Step 6: Final answer
   x = 1,174.35