Finding the Third Proportional to 540.56 and 1,256.06

Step by Step Solution

1. Step 1: Write the proportion equation
   540.56 : 1,256.06 = 1,256.06 : x
2. Step 2: Convert to fraction form
   540.56/1,256.06 = 1,256.06/x
3. Step 3: Cross multiply
   540.56x = 1,256.06 × 1,256.06
4. Step 4: Simplify right side
   540.56x = 1,577,693.00
5. Step 5: Solve for x
   x = 1,577,693.00/540.56
6. Step 6: Final answer
   x = 2,918.61