Finding the Third Proportional to 454 and 521.50

Step by Step Solution

1. Step 1: Write the proportion equation
   454 : 521.50 = 521.50 : x
2. Step 2: Convert to fraction form
   454/521.50 = 521.50/x
3. Step 3: Cross multiply
   454x = 521.50 × 521.50
4. Step 4: Simplify right side
   454x = 271,962.25
5. Step 5: Solve for x
   x = 271,962.25/454
6. Step 6: Final answer
   x = 599.04