Finding the Third Proportional to 91,872 and 189,648

Step by Step Solution

1. Step 1: Write the proportion equation
   91,872 : 189,648 = 189,648 : x
2. Step 2: Convert to fraction form
   91,872/189,648 = 189,648/x
3. Step 3: Cross multiply
   91,872x = 189,648 × 189,648
4. Step 4: Simplify right side
   91,872x = 35,966,363,904
5. Step 5: Solve for x
   x = 35,966,363,904/91,872
6. Step 6: Final answer
   x = 391,483.41