Finding the Third Proportional to 142,947.75 and 209,647

Step by Step Solution

1. Step 1: Write the proportion equation
   142,947.75 : 209,647 = 209,647 : x
2. Step 2: Convert to fraction form
   142,947.75/209,647 = 209,647/x
3. Step 3: Cross multiply
   142,947.75x = 209,647 × 209,647
4. Step 4: Simplify right side
   142,947.75x = 43,951,864,609
5. Step 5: Solve for x
   x = 43,951,864,609/142,947.75
6. Step 6: Final answer
   x = 307,468.04