Finding the Third Proportional to 541.69 and 683.86

Step by Step Solution

1. Step 1: Write the proportion equation
   541.69 : 683.86 = 683.86 : x
2. Step 2: Convert to fraction form
   541.69/683.86 = 683.86/x
3. Step 3: Cross multiply
   541.69x = 683.86 × 683.86
4. Step 4: Simplify right side
   541.69x = 467,663.64
5. Step 5: Solve for x
   x = 467,663.64/541.69
6. Step 6: Final answer
   x = 863.35