Finding the Third Proportional to 146,745 and 321,624

Step by Step Solution

1. Step 1: Write the proportion equation
   146,745 : 321,624 = 321,624 : x
2. Step 2: Convert to fraction form
   146,745/321,624 = 321,624/x
3. Step 3: Cross multiply
   146,745x = 321,624 × 321,624
4. Step 4: Simplify right side
   146,745x = 103,441,997,376
5. Step 5: Solve for x
   x = 103,441,997,376/146,745
6. Step 6: Final answer
   x = 704,909.86