Finding the Third Proportional to 150,306 and 233,053.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,306 : 233,053.50 = 233,053.50 : x
2. Step 2: Convert to fraction form
   150,306/233,053.50 = 233,053.50/x
3. Step 3: Cross multiply
   150,306x = 233,053.50 × 233,053.50
4. Step 4: Simplify right side
   150,306x = 54,313,933,862.25
5. Step 5: Solve for x
   x = 54,313,933,862.25/150,306
6. Step 6: Final answer
   x = 361,355.73