Finding the Third Proportional to 65,014.50 and 139,727.63

Step by Step Solution

1. Step 1: Write the proportion equation
   65,014.50 : 139,727.63 = 139,727.63 : x
2. Step 2: Convert to fraction form
   65,014.50/139,727.63 = 139,727.63/x
3. Step 3: Cross multiply
   65,014.50x = 139,727.63 × 139,727.63
4. Step 4: Simplify right side
   65,014.50x = 19,523,809,188.14
5. Step 5: Solve for x
   x = 19,523,809,188.14/65,014.50
6. Step 6: Final answer
   x = 300,299.31