Finding the Third Proportional to 86,742 and 189,209.25

Step by Step Solution

1. Step 1: Write the proportion equation
   86,742 : 189,209.25 = 189,209.25 : x
2. Step 2: Convert to fraction form
   86,742/189,209.25 = 189,209.25/x
3. Step 3: Cross multiply
   86,742x = 189,209.25 × 189,209.25
4. Step 4: Simplify right side
   86,742x = 35,800,140,285.56
5. Step 5: Solve for x
   x = 35,800,140,285.56/86,742
6. Step 6: Final answer
   x = 412,719.79