Finding the Third Proportional to 422.50 and 795.50

Step by Step Solution

1. Step 1: Write the proportion equation
   422.50 : 795.50 = 795.50 : x
2. Step 2: Convert to fraction form
   422.50/795.50 = 795.50/x
3. Step 3: Cross multiply
   422.50x = 795.50 × 795.50
4. Step 4: Simplify right side
   422.50x = 632,820.25
5. Step 5: Solve for x
   x = 632,820.25/422.50
6. Step 6: Final answer
   x = 1,497.80