Finding the Third Proportional to 65,764.50 and 140,278.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,764.50 : 140,278.50 = 140,278.50 : x
2. Step 2: Convert to fraction form
   65,764.50/140,278.50 = 140,278.50/x
3. Step 3: Cross multiply
   65,764.50x = 140,278.50 × 140,278.50
4. Step 4: Simplify right side
   65,764.50x = 19,678,057,562.25
5. Step 5: Solve for x
   x = 19,678,057,562.25/65,764.50
6. Step 6: Final answer
   x = 299,220.06