Finding the Third Proportional to 146,839.50 and 233,653.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,839.50 : 233,653.50 = 233,653.50 : x
2. Step 2: Convert to fraction form
   146,839.50/233,653.50 = 233,653.50/x
3. Step 3: Cross multiply
   146,839.50x = 233,653.50 × 233,653.50
4. Step 4: Simplify right side
   146,839.50x = 54,593,958,062.25
5. Step 5: Solve for x
   x = 54,593,958,062.25/146,839.50
6. Step 6: Final answer
   x = 371,793.41