Finding the Third Proportional to 243.69 and 521.88

Step by Step Solution

1. Step 1: Write the proportion equation
   243.69 : 521.88 = 521.88 : x
2. Step 2: Convert to fraction form
   243.69/521.88 = 521.88/x
3. Step 3: Cross multiply
   243.69x = 521.88 × 521.88
4. Step 4: Simplify right side
   243.69x = 272,353.52
5. Step 5: Solve for x
   x = 272,353.52/243.69
6. Step 6: Final answer
   x = 1,117.63