Finding the Third Proportional to 100,002 and 140,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,002 : 140,665.50 = 140,665.50 : x
2. Step 2: Convert to fraction form
   100,002/140,665.50 = 140,665.50/x
3. Step 3: Cross multiply
   100,002x = 140,665.50 × 140,665.50
4. Step 4: Simplify right side
   100,002x = 19,786,782,890.25
5. Step 5: Solve for x
   x = 19,786,782,890.25/100,002
6. Step 6: Final answer
   x = 197,863.87