Finding the Third Proportional to 150,206 and 231,932.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,206 : 231,932.50 = 231,932.50 : x
2. Step 2: Convert to fraction form
   150,206/231,932.50 = 231,932.50/x
3. Step 3: Cross multiply
   150,206x = 231,932.50 × 231,932.50
4. Step 4: Simplify right side
   150,206x = 53,792,684,556.25
5. Step 5: Solve for x
   x = 53,792,684,556.25/150,206
6. Step 6: Final answer
   x = 358,126.07