Finding the Third Proportional to 300,306 and 653,022

Step by Step Solution

1. Step 1: Write the proportion equation
   300,306 : 653,022 = 653,022 : x
2. Step 2: Convert to fraction form
   300,306/653,022 = 653,022/x
3. Step 3: Cross multiply
   300,306x = 653,022 × 653,022
4. Step 4: Simplify right side
   300,306x = 426,437,732,484
5. Step 5: Solve for x
   x = 426,437,732,484/300,306
6. Step 6: Final answer
   x = 1,420,010.70