Finding the Third Proportional to 150,700.50 and 233,137.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,700.50 : 233,137.50 = 233,137.50 : x
2. Step 2: Convert to fraction form
   150,700.50/233,137.50 = 233,137.50/x
3. Step 3: Cross multiply
   150,700.50x = 233,137.50 × 233,137.50
4. Step 4: Simplify right side
   150,700.50x = 54,353,093,906.25
5. Step 5: Solve for x
   x = 54,353,093,906.25/150,700.50
6. Step 6: Final answer
   x = 360,669.63