Finding the Third Proportional to 146,736 and 233,416.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,736 : 233,416.50 = 233,416.50 : x
2. Step 2: Convert to fraction form
   146,736/233,416.50 = 233,416.50/x
3. Step 3: Cross multiply
   146,736x = 233,416.50 × 233,416.50
4. Step 4: Simplify right side
   146,736x = 54,483,262,472.25
5. Step 5: Solve for x
   x = 54,483,262,472.25/146,736
6. Step 6: Final answer
   x = 371,301.27