Finding the Third Proportional to 498.66 and 656.30

Step by Step Solution

1. Step 1: Write the proportion equation
   498.66 : 656.30 = 656.30 : x
2. Step 2: Convert to fraction form
   498.66/656.30 = 656.30/x
3. Step 3: Cross multiply
   498.66x = 656.30 × 656.30
4. Step 4: Simplify right side
   498.66x = 430,725.59
5. Step 5: Solve for x
   x = 430,725.59/498.66
6. Step 6: Final answer
   x = 863.77