Finding the Third Proportional to 189,960 and 405,343.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,960 : 405,343.50 = 405,343.50 : x
2. Step 2: Convert to fraction form
   189,960/405,343.50 = 405,343.50/x
3. Step 3: Cross multiply
   189,960x = 405,343.50 × 405,343.50
4. Step 4: Simplify right side
   189,960x = 164,303,352,992.25
5. Step 5: Solve for x
   x = 164,303,352,992.25/189,960
6. Step 6: Final answer
   x = 864,936.58