Finding the Third Proportional to 85,856 and 113,168

Step by Step Solution

1. Step 1: Write the proportion equation
   85,856 : 113,168 = 113,168 : x
2. Step 2: Convert to fraction form
   85,856/113,168 = 113,168/x
3. Step 3: Cross multiply
   85,856x = 113,168 × 113,168
4. Step 4: Simplify right side
   85,856x = 12,806,996,224
5. Step 5: Solve for x
   x = 12,806,996,224/85,856
6. Step 6: Final answer
   x = 149,168.33