Finding the Third Proportional to 89,702 and 140,727

Step by Step Solution

1. Step 1: Write the proportion equation
   89,702 : 140,727 = 140,727 : x
2. Step 2: Convert to fraction form
   89,702/140,727 = 140,727/x
3. Step 3: Cross multiply
   89,702x = 140,727 × 140,727
4. Step 4: Simplify right side
   89,702x = 19,804,088,529
5. Step 5: Solve for x
   x = 19,804,088,529/89,702
6. Step 6: Final answer
   x = 220,776.44