Finding the Third Proportional to 150,520.50 and 233,194.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,520.50 : 233,194.50 = 233,194.50 : x
2. Step 2: Convert to fraction form
   150,520.50/233,194.50 = 233,194.50/x
3. Step 3: Cross multiply
   150,520.50x = 233,194.50 × 233,194.50
4. Step 4: Simplify right side
   150,520.50x = 54,379,674,830.25
5. Step 5: Solve for x
   x = 54,379,674,830.25/150,520.50
6. Step 6: Final answer
   x = 361,277.53