Finding the Third Proportional to 146,664 and 321,840

Step by Step Solution

1. Step 1: Write the proportion equation
   146,664 : 321,840 = 321,840 : x
2. Step 2: Convert to fraction form
   146,664/321,840 = 321,840/x
3. Step 3: Cross multiply
   146,664x = 321,840 × 321,840
4. Step 4: Simplify right side
   146,664x = 103,580,985,600
5. Step 5: Solve for x
   x = 103,580,985,600/146,664
6. Step 6: Final answer
   x = 706,246.83