Finding the Third Proportional to 89,856 and 139,707

Step by Step Solution

1. Step 1: Write the proportion equation
   89,856 : 139,707 = 139,707 : x
2. Step 2: Convert to fraction form
   89,856/139,707 = 139,707/x
3. Step 3: Cross multiply
   89,856x = 139,707 × 139,707
4. Step 4: Simplify right side
   89,856x = 19,518,045,849
5. Step 5: Solve for x
   x = 19,518,045,849/89,856
6. Step 6: Final answer
   x = 217,214.72