Finding the Third Proportional to 146,896 and 321,468

Step by Step Solution

1. Step 1: Write the proportion equation
   146,896 : 321,468 = 321,468 : x
2. Step 2: Convert to fraction form
   146,896/321,468 = 321,468/x
3. Step 3: Cross multiply
   146,896x = 321,468 × 321,468
4. Step 4: Simplify right side
   146,896x = 103,341,675,024
5. Step 5: Solve for x
   x = 103,341,675,024/146,896
6. Step 6: Final answer
   x = 703,502.31