Finding the Third Proportional to 82,417 and 117,745.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,417 : 117,745.50 = 117,745.50 : x
2. Step 2: Convert to fraction form
   82,417/117,745.50 = 117,745.50/x
3. Step 3: Cross multiply
   82,417x = 117,745.50 × 117,745.50
4. Step 4: Simplify right side
   82,417x = 13,864,002,770.25
5. Step 5: Solve for x
   x = 13,864,002,770.25/82,417
6. Step 6: Final answer
   x = 168,217.76