Finding the Third Proportional to 82,160 and 117,404

Step by Step Solution

1. Step 1: Write the proportion equation
   82,160 : 117,404 = 117,404 : x
2. Step 2: Convert to fraction form
   82,160/117,404 = 117,404/x
3. Step 3: Cross multiply
   82,160x = 117,404 × 117,404
4. Step 4: Simplify right side
   82,160x = 13,783,699,216
5. Step 5: Solve for x
   x = 13,783,699,216/82,160
6. Step 6: Final answer
   x = 167,766.54