Finding the Third Proportional to 91,185 and 189,616.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,185 : 189,616.50 = 189,616.50 : x
2. Step 2: Convert to fraction form
   91,185/189,616.50 = 189,616.50/x
3. Step 3: Cross multiply
   91,185x = 189,616.50 × 189,616.50
4. Step 4: Simplify right side
   91,185x = 35,954,417,072.25
5. Step 5: Solve for x
   x = 35,954,417,072.25/91,185
6. Step 6: Final answer
   x = 394,301.88