Finding the Third Proportional to 300,738 and 653,300

Step by Step Solution

1. Step 1: Write the proportion equation
   300,738 : 653,300 = 653,300 : x
2. Step 2: Convert to fraction form
   300,738/653,300 = 653,300/x
3. Step 3: Cross multiply
   300,738x = 653,300 × 653,300
4. Step 4: Simplify right side
   300,738x = 426,800,890,000
5. Step 5: Solve for x
   x = 426,800,890,000/300,738
6. Step 6: Final answer
   x = 1,419,178.45