Finding the Third Proportional to 379.50 and 698.25

Step by Step Solution

1. Step 1: Write the proportion equation
   379.50 : 698.25 = 698.25 : x
2. Step 2: Convert to fraction form
   379.50/698.25 = 698.25/x
3. Step 3: Cross multiply
   379.50x = 698.25 × 698.25
4. Step 4: Simplify right side
   379.50x = 487,553.06
5. Step 5: Solve for x
   x = 487,553.06/379.50
6. Step 6: Final answer
   x = 1,284.72