Finding the Third Proportional to 146,511 and 300,789

Step by Step Solution

1. Step 1: Write the proportion equation
   146,511 : 300,789 = 300,789 : x
2. Step 2: Convert to fraction form
   146,511/300,789 = 300,789/x
3. Step 3: Cross multiply
   146,511x = 300,789 × 300,789
4. Step 4: Simplify right side
   146,511x = 90,474,022,521
5. Step 5: Solve for x
   x = 90,474,022,521/146,511
6. Step 6: Final answer
   x = 617,523.75