Finding the Third Proportional to 300,510 and 653,184

Step by Step Solution

1. Step 1: Write the proportion equation
   300,510 : 653,184 = 653,184 : x
2. Step 2: Convert to fraction form
   300,510/653,184 = 653,184/x
3. Step 3: Cross multiply
   300,510x = 653,184 × 653,184
4. Step 4: Simplify right side
   300,510x = 426,649,337,856
5. Step 5: Solve for x
   x = 426,649,337,856/300,510
6. Step 6: Final answer
   x = 1,419,750.88