Finding the Third Proportional to 150,996 and 233,500.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,996 : 233,500.50 = 233,500.50 : x
2. Step 2: Convert to fraction form
   150,996/233,500.50 = 233,500.50/x
3. Step 3: Cross multiply
   150,996x = 233,500.50 × 233,500.50
4. Step 4: Simplify right side
   150,996x = 54,522,483,500.25
5. Step 5: Solve for x
   x = 54,522,483,500.25/150,996
6. Step 6: Final answer
   x = 361,085.61