Finding the Third Proportional to 492.25 and 688.31

Step by Step Solution

1. Step 1: Write the proportion equation
   492.25 : 688.31 = 688.31 : x
2. Step 2: Convert to fraction form
   492.25/688.31 = 688.31/x
3. Step 3: Cross multiply
   492.25x = 688.31 × 688.31
4. Step 4: Simplify right side
   492.25x = 473,774.10
5. Step 5: Solve for x
   x = 473,774.10/492.25
6. Step 6: Final answer
   x = 962.47