Finding the Third Proportional to 300,718 and 397,496

Step by Step Solution

1. Step 1: Write the proportion equation
   300,718 : 397,496 = 397,496 : x
2. Step 2: Convert to fraction form
   300,718/397,496 = 397,496/x
3. Step 3: Cross multiply
   300,718x = 397,496 × 397,496
4. Step 4: Simplify right side
   300,718x = 158,003,070,016
5. Step 5: Solve for x
   x = 158,003,070,016/300,718
6. Step 6: Final answer
   x = 525,419.40