Finding the Third Proportional to 478 and 1,017.50

Step by Step Solution

1. Step 1: Write the proportion equation
   478 : 1,017.50 = 1,017.50 : x
2. Step 2: Convert to fraction form
   478/1,017.50 = 1,017.50/x
3. Step 3: Cross multiply
   478x = 1,017.50 × 1,017.50
4. Step 4: Simplify right side
   478x = 1,035,306.25
5. Step 5: Solve for x
   x = 1,035,306.25/478
6. Step 6: Final answer
   x = 2,165.91