Finding the Third Proportional to 68,256 and 101,857.50

Step by Step Solution

1. Step 1: Write the proportion equation
   68,256 : 101,857.50 = 101,857.50 : x
2. Step 2: Convert to fraction form
   68,256/101,857.50 = 101,857.50/x
3. Step 3: Cross multiply
   68,256x = 101,857.50 × 101,857.50
4. Step 4: Simplify right side
   68,256x = 10,374,950,306.25
5. Step 5: Solve for x
   x = 10,374,950,306.25/68,256
6. Step 6: Final answer
   x = 152,000.56