Finding the Third Proportional to 65,101.50 and 142,668

Step by Step Solution

1. Step 1: Write the proportion equation
   65,101.50 : 142,668 = 142,668 : x
2. Step 2: Convert to fraction form
   65,101.50/142,668 = 142,668/x
3. Step 3: Cross multiply
   65,101.50x = 142,668 × 142,668
4. Step 4: Simplify right side
   65,101.50x = 20,354,158,224
5. Step 5: Solve for x
   x = 20,354,158,224/65,101.50
6. Step 6: Final answer
   x = 312,652.68