Finding the Third Proportional to 293.50 and 456.25

Step by Step Solution

1. Step 1: Write the proportion equation
   293.50 : 456.25 = 456.25 : x
2. Step 2: Convert to fraction form
   293.50/456.25 = 456.25/x
3. Step 3: Cross multiply
   293.50x = 456.25 × 456.25
4. Step 4: Simplify right side
   293.50x = 208,164.06
5. Step 5: Solve for x
   x = 208,164.06/293.50
6. Step 6: Final answer
   x = 709.25