Finding the Third Proportional to 56,837 and 89,162

Step by Step Solution

1. Step 1: Write the proportion equation
   56,837 : 89,162 = 89,162 : x
2. Step 2: Convert to fraction form
   56,837/89,162 = 89,162/x
3. Step 3: Cross multiply
   56,837x = 89,162 × 89,162
4. Step 4: Simplify right side
   56,837x = 7,949,862,244
5. Step 5: Solve for x
   x = 7,949,862,244/56,837
6. Step 6: Final answer
   x = 139,871.25