Finding the Third Proportional to 470 and 522.50

Step by Step Solution

1. Step 1: Write the proportion equation
   470 : 522.50 = 522.50 : x
2. Step 2: Convert to fraction form
   470/522.50 = 522.50/x
3. Step 3: Cross multiply
   470x = 522.50 × 522.50
4. Step 4: Simplify right side
   470x = 273,006.25
5. Step 5: Solve for x
   x = 273,006.25/470
6. Step 6: Final answer
   x = 580.86