Finding the Third Proportional to 150,686 and 233,472.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,686 : 233,472.50 = 233,472.50 : x
2. Step 2: Convert to fraction form
   150,686/233,472.50 = 233,472.50/x
3. Step 3: Cross multiply
   150,686x = 233,472.50 × 233,472.50
4. Step 4: Simplify right side
   150,686x = 54,509,408,256.25
5. Step 5: Solve for x
   x = 54,509,408,256.25/150,686
6. Step 6: Final answer
   x = 361,741.69