Finding the Third Proportional to 71,338 and 105,980

Step by Step Solution

1. Step 1: Write the proportion equation
   71,338 : 105,980 = 105,980 : x
2. Step 2: Convert to fraction form
   71,338/105,980 = 105,980/x
3. Step 3: Cross multiply
   71,338x = 105,980 × 105,980
4. Step 4: Simplify right side
   71,338x = 11,231,760,400
5. Step 5: Solve for x
   x = 11,231,760,400/71,338
6. Step 6: Final answer
   x = 157,444.28