Finding the Third Proportional to 300,196 and 475,350

Step by Step Solution

1. Step 1: Write the proportion equation
   300,196 : 475,350 = 475,350 : x
2. Step 2: Convert to fraction form
   300,196/475,350 = 475,350/x
3. Step 3: Cross multiply
   300,196x = 475,350 × 475,350
4. Step 4: Simplify right side
   300,196x = 225,957,622,500
5. Step 5: Solve for x
   x = 225,957,622,500/300,196
6. Step 6: Final answer
   x = 752,700.31