Finding the Third Proportional to 84,678 and 189,404

Step by Step Solution

1. Step 1: Write the proportion equation
   84,678 : 189,404 = 189,404 : x
2. Step 2: Convert to fraction form
   84,678/189,404 = 189,404/x
3. Step 3: Cross multiply
   84,678x = 189,404 × 189,404
4. Step 4: Simplify right side
   84,678x = 35,873,875,216
5. Step 5: Solve for x
   x = 35,873,875,216/84,678
6. Step 6: Final answer
   x = 423,650.48