Finding the Third Proportional to 385.50 and 530.25

Step by Step Solution

1. Step 1: Write the proportion equation
   385.50 : 530.25 = 530.25 : x
2. Step 2: Convert to fraction form
   385.50/530.25 = 530.25/x
3. Step 3: Cross multiply
   385.50x = 530.25 × 530.25
4. Step 4: Simplify right side
   385.50x = 281,165.06
5. Step 5: Solve for x
   x = 281,165.06/385.50
6. Step 6: Final answer
   x = 729.35