Finding the Third Proportional to 466.50 and 1,012.88

Step by Step Solution

1. Step 1: Write the proportion equation
   466.50 : 1,012.88 = 1,012.88 : x
2. Step 2: Convert to fraction form
   466.50/1,012.88 = 1,012.88/x
3. Step 3: Cross multiply
   466.50x = 1,012.88 × 1,012.88
4. Step 4: Simplify right side
   466.50x = 1,025,915.77
5. Step 5: Solve for x
   x = 1,025,915.77/466.50
6. Step 6: Final answer
   x = 2,199.18