Finding the Third Proportional to 142,928.25 and 209,020.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,928.25 : 209,020.50 = 209,020.50 : x
2. Step 2: Convert to fraction form
   142,928.25/209,020.50 = 209,020.50/x
3. Step 3: Cross multiply
   142,928.25x = 209,020.50 × 209,020.50
4. Step 4: Simplify right side
   142,928.25x = 43,689,569,420.25
5. Step 5: Solve for x
   x = 43,689,569,420.25/142,928.25
6. Step 6: Final answer
   x = 305,674.84