Finding the Third Proportional to 499.56 and 783.69

Step by Step Solution

1. Step 1: Write the proportion equation
   499.56 : 783.69 = 783.69 : x
2. Step 2: Convert to fraction form
   499.56/783.69 = 783.69/x
3. Step 3: Cross multiply
   499.56x = 783.69 × 783.69
4. Step 4: Simplify right side
   499.56x = 614,166.10
5. Step 5: Solve for x
   x = 614,166.10/499.56
6. Step 6: Final answer
   x = 1,229.41