Finding the Third Proportional to 68,682.75 and 142,627.50

Step by Step Solution

1. Step 1: Write the proportion equation
   68,682.75 : 142,627.50 = 142,627.50 : x
2. Step 2: Convert to fraction form
   68,682.75/142,627.50 = 142,627.50/x
3. Step 3: Cross multiply
   68,682.75x = 142,627.50 × 142,627.50
4. Step 4: Simplify right side
   68,682.75x = 20,342,603,756.25
5. Step 5: Solve for x
   x = 20,342,603,756.25/68,682.75
6. Step 6: Final answer
   x = 296,182.14