Finding the Third Proportional to 300.90 and 401.52

Step by Step Solution

1. Step 1: Write the proportion equation
   300.90 : 401.52 = 401.52 : x
2. Step 2: Convert to fraction form
   300.90/401.52 = 401.52/x
3. Step 3: Cross multiply
   300.90x = 401.52 × 401.52
4. Step 4: Simplify right side
   300.90x = 161,217.93
5. Step 5: Solve for x
   x = 161,217.93/300.90
6. Step 6: Final answer
   x = 535.78