Finding the Third Proportional to 322.50 and 501.90

Step by Step Solution

1. Step 1: Write the proportion equation
   322.50 : 501.90 = 501.90 : x
2. Step 2: Convert to fraction form
   322.50/501.90 = 501.90/x
3. Step 3: Cross multiply
   322.50x = 501.90 × 501.90
4. Step 4: Simplify right side
   322.50x = 251,903.02
5. Step 5: Solve for x
   x = 251,903.02/322.50
6. Step 6: Final answer
   x = 781.10