Finding the Third Proportional to 90,216 and 193,872

Step by Step Solution

1. Step 1: Write the proportion equation
   90,216 : 193,872 = 193,872 : x
2. Step 2: Convert to fraction form
   90,216/193,872 = 193,872/x
3. Step 3: Cross multiply
   90,216x = 193,872 × 193,872
4. Step 4: Simplify right side
   90,216x = 37,586,352,384
5. Step 5: Solve for x
   x = 37,586,352,384/90,216
6. Step 6: Final answer
   x = 416,626.23