Finding the Third Proportional to 300,188 and 475,338

Step by Step Solution

1. Step 1: Write the proportion equation
   300,188 : 475,338 = 475,338 : x
2. Step 2: Convert to fraction form
   300,188/475,338 = 475,338/x
3. Step 3: Cross multiply
   300,188x = 475,338 × 475,338
4. Step 4: Simplify right side
   300,188x = 225,946,214,244
5. Step 5: Solve for x
   x = 225,946,214,244/300,188
6. Step 6: Final answer
   x = 752,682.37