Finding the Third Proportional to 498.23 and 704.74

Step by Step Solution

1. Step 1: Write the proportion equation
   498.23 : 704.74 = 704.74 : x
2. Step 2: Convert to fraction form
   498.23/704.74 = 704.74/x
3. Step 3: Cross multiply
   498.23x = 704.74 × 704.74
4. Step 4: Simplify right side
   498.23x = 496,661.55
5. Step 5: Solve for x
   x = 496,661.55/498.23
6. Step 6: Final answer
   x = 996.84