Finding the Third Proportional to 68,857 and 105,872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   68,857 : 105,872.50 = 105,872.50 : x
2. Step 2: Convert to fraction form
   68,857/105,872.50 = 105,872.50/x
3. Step 3: Cross multiply
   68,857x = 105,872.50 × 105,872.50
4. Step 4: Simplify right side
   68,857x = 11,208,986,256.25
5. Step 5: Solve for x
   x = 11,208,986,256.25/68,857
6. Step 6: Final answer
   x = 162,786.45