Finding the Third Proportional to 89,745 and 140,796

Step by Step Solution

1. Step 1: Write the proportion equation
   89,745 : 140,796 = 140,796 : x
2. Step 2: Convert to fraction form
   89,745/140,796 = 140,796/x
3. Step 3: Cross multiply
   89,745x = 140,796 × 140,796
4. Step 4: Simplify right side
   89,745x = 19,823,513,616
5. Step 5: Solve for x
   x = 19,823,513,616/89,745
6. Step 6: Final answer
   x = 220,887.11