Finding the Third Proportional to 89,584 and 133,908

Step by Step Solution

1. Step 1: Write the proportion equation
   89,584 : 133,908 = 133,908 : x
2. Step 2: Convert to fraction form
   89,584/133,908 = 133,908/x
3. Step 3: Cross multiply
   89,584x = 133,908 × 133,908
4. Step 4: Simplify right side
   89,584x = 17,931,352,464
5. Step 5: Solve for x
   x = 17,931,352,464/89,584
6. Step 6: Final answer
   x = 200,162.44