Finding the Third Proportional to 300,434 and 467,895

Step by Step Solution

1. Step 1: Write the proportion equation
   300,434 : 467,895 = 467,895 : x
2. Step 2: Convert to fraction form
   300,434/467,895 = 467,895/x
3. Step 3: Cross multiply
   300,434x = 467,895 × 467,895
4. Step 4: Simplify right side
   300,434x = 218,925,731,025
5. Step 5: Solve for x
   x = 218,925,731,025/300,434
6. Step 6: Final answer
   x = 728,698.25