Finding the Third Proportional to 150,231 and 233,959.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,231 : 233,959.50 = 233,959.50 : x
2. Step 2: Convert to fraction form
   150,231/233,959.50 = 233,959.50/x
3. Step 3: Cross multiply
   150,231x = 233,959.50 × 233,959.50
4. Step 4: Simplify right side
   150,231x = 54,737,047,640.25
5. Step 5: Solve for x
   x = 54,737,047,640.25/150,231
6. Step 6: Final answer
   x = 364,352.55