Finding the Third Proportional to 730.27 and 838.27

Step by Step Solution

1. Step 1: Write the proportion equation
   730.27 : 838.27 = 838.27 : x
2. Step 2: Convert to fraction form
   730.27/838.27 = 838.27/x
3. Step 3: Cross multiply
   730.27x = 838.27 × 838.27
4. Step 4: Simplify right side
   730.27x = 702,689.26
5. Step 5: Solve for x
   x = 702,689.26/730.27
6. Step 6: Final answer
   x = 962.24