Finding the Third Proportional to 616.50 and 914.63

Step by Step Solution

1. Step 1: Write the proportion equation
   616.50 : 914.63 = 914.63 : x
2. Step 2: Convert to fraction form
   616.50/914.63 = 914.63/x
3. Step 3: Cross multiply
   616.50x = 914.63 × 914.63
4. Step 4: Simplify right side
   616.50x = 836,538.89
5. Step 5: Solve for x
   x = 836,538.89/616.50
6. Step 6: Final answer
   x = 1,356.92