Finding the Third Proportional to 146,733.50 and 233,413

Step by Step Solution

1. Step 1: Write the proportion equation
   146,733.50 : 233,413 = 233,413 : x
2. Step 2: Convert to fraction form
   146,733.50/233,413 = 233,413/x
3. Step 3: Cross multiply
   146,733.50x = 233,413 × 233,413
4. Step 4: Simplify right side
   146,733.50x = 54,481,628,569
5. Step 5: Solve for x
   x = 54,481,628,569/146,733.50
6. Step 6: Final answer
   x = 371,296.46