Finding the Third Proportional to 539.50 and 1,155.88

Step by Step Solution

1. Step 1: Write the proportion equation
   539.50 : 1,155.88 = 1,155.88 : x
2. Step 2: Convert to fraction form
   539.50/1,155.88 = 1,155.88/x
3. Step 3: Cross multiply
   539.50x = 1,155.88 × 1,155.88
4. Step 4: Simplify right side
   539.50x = 1,336,047.02
5. Step 5: Solve for x
   x = 1,336,047.02/539.50
6. Step 6: Final answer
   x = 2,476.45