Finding the Third Proportional to 539.79 and 1,142.86

Step by Step Solution

1. Step 1: Write the proportion equation
   539.79 : 1,142.86 = 1,142.86 : x
2. Step 2: Convert to fraction form
   539.79/1,142.86 = 1,142.86/x
3. Step 3: Cross multiply
   539.79x = 1,142.86 × 1,142.86
4. Step 4: Simplify right side
   539.79x = 1,306,127.55
5. Step 5: Solve for x
   x = 1,306,127.55/539.79
6. Step 6: Final answer
   x = 2,419.70