Finding the Third Proportional to 516.94 and 782.72

Step by Step Solution

1. Step 1: Write the proportion equation
   516.94 : 782.72 = 782.72 : x
2. Step 2: Convert to fraction form
   516.94/782.72 = 782.72/x
3. Step 3: Cross multiply
   516.94x = 782.72 × 782.72
4. Step 4: Simplify right side
   516.94x = 612,648.64
5. Step 5: Solve for x
   x = 612,648.64/516.94
6. Step 6: Final answer
   x = 1,185.15