Finding the Third Proportional to 65,256.50 and 142,497.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,256.50 : 142,497.50 = 142,497.50 : x
2. Step 2: Convert to fraction form
   65,256.50/142,497.50 = 142,497.50/x
3. Step 3: Cross multiply
   65,256.50x = 142,497.50 × 142,497.50
4. Step 4: Simplify right side
   65,256.50x = 20,305,537,506.25
5. Step 5: Solve for x
   x = 20,305,537,506.25/65,256.50
6. Step 6: Final answer
   x = 311,164.98