Finding the Third Proportional to 82,144 and 116,368

Step by Step Solution

1. Step 1: Write the proportion equation
   82,144 : 116,368 = 116,368 : x
2. Step 2: Convert to fraction form
   82,144/116,368 = 116,368/x
3. Step 3: Cross multiply
   82,144x = 116,368 × 116,368
4. Step 4: Simplify right side
   82,144x = 13,541,511,424
5. Step 5: Solve for x
   x = 13,541,511,424/82,144
6. Step 6: Final answer
   x = 164,850.89