Finding the Third Proportional to 150,681 and 233,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,681 : 233,464.50 = 233,464.50 : x
2. Step 2: Convert to fraction form
   150,681/233,464.50 = 233,464.50/x
3. Step 3: Cross multiply
   150,681x = 233,464.50 × 233,464.50
4. Step 4: Simplify right side
   150,681x = 54,505,672,760.25
5. Step 5: Solve for x
   x = 54,505,672,760.25/150,681
6. Step 6: Final answer
   x = 361,728.90