Finding the Third Proportional to 65,653.50 and 140,054.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,653.50 : 140,054.50 = 140,054.50 : x
2. Step 2: Convert to fraction form
   65,653.50/140,054.50 = 140,054.50/x
3. Step 3: Cross multiply
   65,653.50x = 140,054.50 × 140,054.50
4. Step 4: Simplify right side
   65,653.50x = 19,615,262,970.25
5. Step 5: Solve for x
   x = 19,615,262,970.25/65,653.50
6. Step 6: Final answer
   x = 298,769.49