Finding the Third Proportional to 83,696 and 128,216

Step by Step Solution

1. Step 1: Write the proportion equation
   83,696 : 128,216 = 128,216 : x
2. Step 2: Convert to fraction form
   83,696/128,216 = 128,216/x
3. Step 3: Cross multiply
   83,696x = 128,216 × 128,216
4. Step 4: Simplify right side
   83,696x = 16,439,342,656
5. Step 5: Solve for x
   x = 16,439,342,656/83,696
6. Step 6: Final answer
   x = 196,417.30