Finding the Third Proportional to 82,172 and 116,404

Step by Step Solution

1. Step 1: Write the proportion equation
   82,172 : 116,404 = 116,404 : x
2. Step 2: Convert to fraction form
   82,172/116,404 = 116,404/x
3. Step 3: Cross multiply
   82,172x = 116,404 × 116,404
4. Step 4: Simplify right side
   82,172x = 13,549,891,216
5. Step 5: Solve for x
   x = 13,549,891,216/82,172
6. Step 6: Final answer
   x = 164,896.69