Finding the Third Proportional to 158,949 and 222,799.50

Step by Step Solution

1. Step 1: Write the proportion equation
   158,949 : 222,799.50 = 222,799.50 : x
2. Step 2: Convert to fraction form
   158,949/222,799.50 = 222,799.50/x
3. Step 3: Cross multiply
   158,949x = 222,799.50 × 222,799.50
4. Step 4: Simplify right side
   158,949x = 49,639,617,200.25
5. Step 5: Solve for x
   x = 49,639,617,200.25/158,949
6. Step 6: Final answer
   x = 312,299.02