Finding the Third Proportional to 146,864 and 233,418

Step by Step Solution

1. Step 1: Write the proportion equation
   146,864 : 233,418 = 233,418 : x
2. Step 2: Convert to fraction form
   146,864/233,418 = 233,418/x
3. Step 3: Cross multiply
   146,864x = 233,418 × 233,418
4. Step 4: Simplify right side
   146,864x = 54,483,962,724
5. Step 5: Solve for x
   x = 54,483,962,724/146,864
6. Step 6: Final answer
   x = 370,982.42