Finding the Third Proportional to 89,424 and 189,508

Step by Step Solution

1. Step 1: Write the proportion equation
   89,424 : 189,508 = 189,508 : x
2. Step 2: Convert to fraction form
   89,424/189,508 = 189,508/x
3. Step 3: Cross multiply
   89,424x = 189,508 × 189,508
4. Step 4: Simplify right side
   89,424x = 35,913,282,064
5. Step 5: Solve for x
   x = 35,913,282,064/89,424
6. Step 6: Final answer
   x = 401,606.75