Finding the Third Proportional to 312.61 and 730.27

Step by Step Solution

1. Step 1: Write the proportion equation
   312.61 : 730.27 = 730.27 : x
2. Step 2: Convert to fraction form
   312.61/730.27 = 730.27/x
3. Step 3: Cross multiply
   312.61x = 730.27 × 730.27
4. Step 4: Simplify right side
   312.61x = 533,287.88
5. Step 5: Solve for x
   x = 533,287.88/312.61
6. Step 6: Final answer
   x = 1,705.92