Finding the Third Proportional to 462.31 and 698.31

Step by Step Solution

1. Step 1: Write the proportion equation
   462.31 : 698.31 = 698.31 : x
2. Step 2: Convert to fraction form
   462.31/698.31 = 698.31/x
3. Step 3: Cross multiply
   462.31x = 698.31 × 698.31
4. Step 4: Simplify right side
   462.31x = 487,640.35
5. Step 5: Solve for x
   x = 487,640.35/462.31
6. Step 6: Final answer
   x = 1,054.79