Finding the Third Proportional to 230.66 and 498.34

Step by Step Solution

1. Step 1: Write the proportion equation
   230.66 : 498.34 = 498.34 : x
2. Step 2: Convert to fraction form
   230.66/498.34 = 498.34/x
3. Step 3: Cross multiply
   230.66x = 498.34 × 498.34
4. Step 4: Simplify right side
   230.66x = 248,342.60
5. Step 5: Solve for x
   x = 248,342.60/230.66
6. Step 6: Final answer
   x = 1,076.66