Finding the Third Proportional to 80,122 and 116,051

Step by Step Solution

1. Step 1: Write the proportion equation
   80,122 : 116,051 = 116,051 : x
2. Step 2: Convert to fraction form
   80,122/116,051 = 116,051/x
3. Step 3: Cross multiply
   80,122x = 116,051 × 116,051
4. Step 4: Simplify right side
   80,122x = 13,467,834,601
5. Step 5: Solve for x
   x = 13,467,834,601/80,122
6. Step 6: Final answer
   x = 168,091.59