Finding the Third Proportional to 76,268 and 116,436

Step by Step Solution

1. Step 1: Write the proportion equation
   76,268 : 116,436 = 116,436 : x
2. Step 2: Convert to fraction form
   76,268/116,436 = 116,436/x
3. Step 3: Cross multiply
   76,268x = 116,436 × 116,436
4. Step 4: Simplify right side
   76,268x = 13,557,342,096
5. Step 5: Solve for x
   x = 13,557,342,096/76,268
6. Step 6: Final answer
   x = 177,759.24