Finding the Third Proportional to 471.50 and 1,014.50

Step by Step Solution

1. Step 1: Write the proportion equation
   471.50 : 1,014.50 = 1,014.50 : x
2. Step 2: Convert to fraction form
   471.50/1,014.50 = 1,014.50/x
3. Step 3: Cross multiply
   471.50x = 1,014.50 × 1,014.50
4. Step 4: Simplify right side
   471.50x = 1,029,210.25
5. Step 5: Solve for x
   x = 1,029,210.25/471.50
6. Step 6: Final answer
   x = 2,182.84