Finding the Third Proportional to 540.56 and 836.06

Step by Step Solution

1. Step 1: Write the proportion equation
   540.56 : 836.06 = 836.06 : x
2. Step 2: Convert to fraction form
   540.56/836.06 = 836.06/x
3. Step 3: Cross multiply
   540.56x = 836.06 × 836.06
4. Step 4: Simplify right side
   540.56x = 699,000.50
5. Step 5: Solve for x
   x = 699,000.50/540.56
6. Step 6: Final answer
   x = 1,293.10