Finding the Third Proportional to 68,805 and 142,024.50

Step by Step Solution

1. Step 1: Write the proportion equation
   68,805 : 142,024.50 = 142,024.50 : x
2. Step 2: Convert to fraction form
   68,805/142,024.50 = 142,024.50/x
3. Step 3: Cross multiply
   68,805x = 142,024.50 × 142,024.50
4. Step 4: Simplify right side
   68,805x = 20,170,958,600.25
5. Step 5: Solve for x
   x = 20,170,958,600.25/68,805
6. Step 6: Final answer
   x = 293,161.23