Finding the Third Proportional to 105,488 and 140,914

Step by Step Solution

1. Step 1: Write the proportion equation
   105,488 : 140,914 = 140,914 : x
2. Step 2: Convert to fraction form
   105,488/140,914 = 140,914/x
3. Step 3: Cross multiply
   105,488x = 140,914 × 140,914
4. Step 4: Simplify right side
   105,488x = 19,856,755,396
5. Step 5: Solve for x
   x = 19,856,755,396/105,488
6. Step 6: Final answer
   x = 188,237.10