Finding the Third Proportional to 91,744 and 189,386

Step by Step Solution

1. Step 1: Write the proportion equation
   91,744 : 189,386 = 189,386 : x
2. Step 2: Convert to fraction form
   91,744/189,386 = 189,386/x
3. Step 3: Cross multiply
   91,744x = 189,386 × 189,386
4. Step 4: Simplify right side
   91,744x = 35,867,056,996
5. Step 5: Solve for x
   x = 35,867,056,996/91,744
6. Step 6: Final answer
   x = 390,947.17