Finding the Third Proportional to 95,401 and 140,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   95,401 : 140,185.50 = 140,185.50 : x
2. Step 2: Convert to fraction form
   95,401/140,185.50 = 140,185.50/x
3. Step 3: Cross multiply
   95,401x = 140,185.50 × 140,185.50
4. Step 4: Simplify right side
   95,401x = 19,651,974,410.25
5. Step 5: Solve for x
   x = 19,651,974,410.25/95,401
6. Step 6: Final answer
   x = 205,993.38