Finding the Third Proportional to 89,742 and 140,787

Step by Step Solution

1. Step 1: Write the proportion equation
   89,742 : 140,787 = 140,787 : x
2. Step 2: Convert to fraction form
   89,742/140,787 = 140,787/x
3. Step 3: Cross multiply
   89,742x = 140,787 × 140,787
4. Step 4: Simplify right side
   89,742x = 19,820,979,369
5. Step 5: Solve for x
   x = 19,820,979,369/89,742
6. Step 6: Final answer
   x = 220,866.25