Finding the Third Proportional to 82,288 and 116,512

Step by Step Solution

1. Step 1: Write the proportion equation
   82,288 : 116,512 = 116,512 : x
2. Step 2: Convert to fraction form
   82,288/116,512 = 116,512/x
3. Step 3: Cross multiply
   82,288x = 116,512 × 116,512
4. Step 4: Simplify right side
   82,288x = 13,575,046,144
5. Step 5: Solve for x
   x = 13,575,046,144/82,288
6. Step 6: Final answer
   x = 164,969.94