Finding the Third Proportional to 309.50 and 469.25

Step by Step Solution

1. Step 1: Write the proportion equation
   309.50 : 469.25 = 469.25 : x
2. Step 2: Convert to fraction form
   309.50/469.25 = 469.25/x
3. Step 3: Cross multiply
   309.50x = 469.25 × 469.25
4. Step 4: Simplify right side
   309.50x = 220,195.56
5. Step 5: Solve for x
   x = 220,195.56/309.50
6. Step 6: Final answer
   x = 711.46