Finding the Third Proportional to 541.69 and 845.86

Step by Step Solution

1. Step 1: Write the proportion equation
   541.69 : 845.86 = 845.86 : x
2. Step 2: Convert to fraction form
   541.69/845.86 = 845.86/x
3. Step 3: Cross multiply
   541.69x = 845.86 × 845.86
4. Step 4: Simplify right side
   541.69x = 715,478.08
5. Step 5: Solve for x
   x = 715,478.08/541.69
6. Step 6: Final answer
   x = 1,320.83