Finding the Third Proportional to 468.56 and 1,084.72

Step by Step Solution

1. Step 1: Write the proportion equation
   468.56 : 1,084.72 = 1,084.72 : x
2. Step 2: Convert to fraction form
   468.56/1,084.72 = 1,084.72/x
3. Step 3: Cross multiply
   468.56x = 1,084.72 × 1,084.72
4. Step 4: Simplify right side
   468.56x = 1,176,616.89
5. Step 5: Solve for x
   x = 1,176,616.89/468.56
6. Step 6: Final answer
   x = 2,511.14