Finding the Third Proportional to 59,291 and 105,422

Step by Step Solution

1. Step 1: Write the proportion equation
   59,291 : 105,422 = 105,422 : x
2. Step 2: Convert to fraction form
   59,291/105,422 = 105,422/x
3. Step 3: Cross multiply
   59,291x = 105,422 × 105,422
4. Step 4: Simplify right side
   59,291x = 11,113,798,084
5. Step 5: Solve for x
   x = 11,113,798,084/59,291
6. Step 6: Final answer
   x = 187,444.94