Finding the Third Proportional to 89,856 and 212,040

Step by Step Solution

1. Step 1: Write the proportion equation
   89,856 : 212,040 = 212,040 : x
2. Step 2: Convert to fraction form
   89,856/212,040 = 212,040/x
3. Step 3: Cross multiply
   89,856x = 212,040 × 212,040
4. Step 4: Simplify right side
   89,856x = 44,960,961,600
5. Step 5: Solve for x
   x = 44,960,961,600/89,856
6. Step 6: Final answer
   x = 500,366.83