Finding the Third Proportional to 300,932 and 467,470

Step by Step Solution

1. Step 1: Write the proportion equation
   300,932 : 467,470 = 467,470 : x
2. Step 2: Convert to fraction form
   300,932/467,470 = 467,470/x
3. Step 3: Cross multiply
   300,932x = 467,470 × 467,470
4. Step 4: Simplify right side
   300,932x = 218,528,200,900
5. Step 5: Solve for x
   x = 218,528,200,900/300,932
6. Step 6: Final answer
   x = 726,171.36