Finding the Third Proportional to 688.78 and 1,499.06

Step by Step Solution

1. Step 1: Write the proportion equation
   688.78 : 1,499.06 = 1,499.06 : x
2. Step 2: Convert to fraction form
   688.78/1,499.06 = 1,499.06/x
3. Step 3: Cross multiply
   688.78x = 1,499.06 × 1,499.06
4. Step 4: Simplify right side
   688.78x = 2,247,188.38
5. Step 5: Solve for x
   x = 2,247,188.38/688.78
6. Step 6: Final answer
   x = 3,262.56