Finding the Third Proportional to 82,033.50 and 117,306

Step by Step Solution

1. Step 1: Write the proportion equation
   82,033.50 : 117,306 = 117,306 : x
2. Step 2: Convert to fraction form
   82,033.50/117,306 = 117,306/x
3. Step 3: Cross multiply
   82,033.50x = 117,306 × 117,306
4. Step 4: Simplify right side
   82,033.50x = 13,760,697,636
5. Step 5: Solve for x
   x = 13,760,697,636/82,033.50
6. Step 6: Final answer
   x = 167,744.86