Finding the Third Proportional to 56,858 and 89,189

Step by Step Solution

1. Step 1: Write the proportion equation
   56,858 : 89,189 = 89,189 : x
2. Step 2: Convert to fraction form
   56,858/89,189 = 89,189/x
3. Step 3: Cross multiply
   56,858x = 89,189 × 89,189
4. Step 4: Simplify right side
   56,858x = 7,954,677,721
5. Step 5: Solve for x
   x = 7,954,677,721/56,858
6. Step 6: Final answer
   x = 139,904.28