Finding the Third Proportional to 340.50 and 521.25

Step by Step Solution

1. Step 1: Write the proportion equation
   340.50 : 521.25 = 521.25 : x
2. Step 2: Convert to fraction form
   340.50/521.25 = 521.25/x
3. Step 3: Cross multiply
   340.50x = 521.25 × 521.25
4. Step 4: Simplify right side
   340.50x = 271,701.56
5. Step 5: Solve for x
   x = 271,701.56/340.50
6. Step 6: Final answer
   x = 797.95