Finding the Third Proportional to 347.50 and 379.50

Step by Step Solution

1. Step 1: Write the proportion equation
   347.50 : 379.50 = 379.50 : x
2. Step 2: Convert to fraction form
   347.50/379.50 = 379.50/x
3. Step 3: Cross multiply
   347.50x = 379.50 × 379.50
4. Step 4: Simplify right side
   347.50x = 144,020.25
5. Step 5: Solve for x
   x = 144,020.25/347.50
6. Step 6: Final answer
   x = 414.45