Finding the Third Proportional to 100,041 and 140,698.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,041 : 140,698.50 = 140,698.50 : x
2. Step 2: Convert to fraction form
   100,041/140,698.50 = 140,698.50/x
3. Step 3: Cross multiply
   100,041x = 140,698.50 × 140,698.50
4. Step 4: Simplify right side
   100,041x = 19,796,067,902.25
5. Step 5: Solve for x
   x = 19,796,067,902.25/100,041
6. Step 6: Final answer
   x = 197,879.55