Finding the Third Proportional to 498.66 and 784.31

Step by Step Solution

1. Step 1: Write the proportion equation
   498.66 : 784.31 = 784.31 : x
2. Step 2: Convert to fraction form
   498.66/784.31 = 784.31/x
3. Step 3: Cross multiply
   498.66x = 784.31 × 784.31
4. Step 4: Simplify right side
   498.66x = 615,146.10
5. Step 5: Solve for x
   x = 615,146.10/498.66
6. Step 6: Final answer
   x = 1,233.61