Finding the Third Proportional to 300,974 and 653,786

Step by Step Solution

1. Step 1: Write the proportion equation
   300,974 : 653,786 = 653,786 : x
2. Step 2: Convert to fraction form
   300,974/653,786 = 653,786/x
3. Step 3: Cross multiply
   300,974x = 653,786 × 653,786
4. Step 4: Simplify right side
   300,974x = 427,436,133,796
5. Step 5: Solve for x
   x = 427,436,133,796/300,974
6. Step 6: Final answer
   x = 1,420,176.27