Finding the Third Proportional to 688.50 and 945.42

Step by Step Solution

1. Step 1: Write the proportion equation
   688.50 : 945.42 = 945.42 : x
2. Step 2: Convert to fraction form
   688.50/945.42 = 945.42/x
3. Step 3: Cross multiply
   688.50x = 945.42 × 945.42
4. Step 4: Simplify right side
   688.50x = 893,822.52
5. Step 5: Solve for x
   x = 893,822.52/688.50
6. Step 6: Final answer
   x = 1,298.22