Finding the Third Proportional to 68,809.50 and 141,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   68,809.50 : 141,142.50 = 141,142.50 : x
2. Step 2: Convert to fraction form
   68,809.50/141,142.50 = 141,142.50/x
3. Step 3: Cross multiply
   68,809.50x = 141,142.50 × 141,142.50
4. Step 4: Simplify right side
   68,809.50x = 19,921,205,306.25
5. Step 5: Solve for x
   x = 19,921,205,306.25/68,809.50
6. Step 6: Final answer
   x = 289,512.43