Finding the Third Proportional to 76,288 and 101,856

Step by Step Solution

1. Step 1: Write the proportion equation
   76,288 : 101,856 = 101,856 : x
2. Step 2: Convert to fraction form
   76,288/101,856 = 101,856/x
3. Step 3: Cross multiply
   76,288x = 101,856 × 101,856
4. Step 4: Simplify right side
   76,288x = 10,374,644,736
5. Step 5: Solve for x
   x = 10,374,644,736/76,288
6. Step 6: Final answer
   x = 135,993.14