Finding the Third Proportional to 300.50 and 420.25

Step by Step Solution

1. Step 1: Write the proportion equation
   300.50 : 420.25 = 420.25 : x
2. Step 2: Convert to fraction form
   300.50/420.25 = 420.25/x
3. Step 3: Cross multiply
   300.50x = 420.25 × 420.25
4. Step 4: Simplify right side
   300.50x = 176,610.06
5. Step 5: Solve for x
   x = 176,610.06/300.50
6. Step 6: Final answer
   x = 587.72