Finding the Third Proportional to 140,646 and 187,879.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140,646 : 187,879.50 = 187,879.50 : x
2. Step 2: Convert to fraction form
   140,646/187,879.50 = 187,879.50/x
3. Step 3: Cross multiply
   140,646x = 187,879.50 × 187,879.50
4. Step 4: Simplify right side
   140,646x = 35,298,706,520.25
5. Step 5: Solve for x
   x = 35,298,706,520.25/140,646
6. Step 6: Final answer
   x = 250,975.55