Finding the Third Proportional to 146,840 and 233,388

Step by Step Solution

1. Step 1: Write the proportion equation
   146,840 : 233,388 = 233,388 : x
2. Step 2: Convert to fraction form
   146,840/233,388 = 233,388/x
3. Step 3: Cross multiply
   146,840x = 233,388 × 233,388
4. Step 4: Simplify right side
   146,840x = 54,469,958,544
5. Step 5: Solve for x
   x = 54,469,958,544/146,840
6. Step 6: Final answer
   x = 370,947.69