Finding the Third Proportional to 150,185 and 209,968.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,185 : 209,968.50 = 209,968.50 : x
2. Step 2: Convert to fraction form
   150,185/209,968.50 = 209,968.50/x
3. Step 3: Cross multiply
   150,185x = 209,968.50 × 209,968.50
4. Step 4: Simplify right side
   150,185x = 44,086,770,992.25
5. Step 5: Solve for x
   x = 44,086,770,992.25/150,185
6. Step 6: Final answer
   x = 293,549.76