Finding the Third Proportional to 616.88 and 912.56

Step by Step Solution

1. Step 1: Write the proportion equation
   616.88 : 912.56 = 912.56 : x
2. Step 2: Convert to fraction form
   616.88/912.56 = 912.56/x
3. Step 3: Cross multiply
   616.88x = 912.56 × 912.56
4. Step 4: Simplify right side
   616.88x = 832,770.32
5. Step 5: Solve for x
   x = 832,770.32/616.88
6. Step 6: Final answer
   x = 1,349.98