Finding the Third Proportional to 150,459.50 and 233,723.25

Step by Step Solution

1. Step 1: Write the proportion equation
   150,459.50 : 233,723.25 = 233,723.25 : x
2. Step 2: Convert to fraction form
   150,459.50/233,723.25 = 233,723.25/x
3. Step 3: Cross multiply
   150,459.50x = 233,723.25 × 233,723.25
4. Step 4: Simplify right side
   150,459.50x = 54,626,557,590.56
5. Step 5: Solve for x
   x = 54,626,557,590.56/150,459.50
6. Step 6: Final answer
   x = 363,064.86