Finding the Third Proportional to 150,524 and 233,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,524 : 233,196.50 = 233,196.50 : x
2. Step 2: Convert to fraction form
   150,524/233,196.50 = 233,196.50/x
3. Step 3: Cross multiply
   150,524x = 233,196.50 × 233,196.50
4. Step 4: Simplify right side
   150,524x = 54,380,607,612.25
5. Step 5: Solve for x
   x = 54,380,607,612.25/150,524
6. Step 6: Final answer
   x = 361,275.33