Finding the Third Proportional to 89,746 and 140,798

Step by Step Solution

1. Step 1: Write the proportion equation
   89,746 : 140,798 = 140,798 : x
2. Step 2: Convert to fraction form
   89,746/140,798 = 140,798/x
3. Step 3: Cross multiply
   89,746x = 140,798 × 140,798
4. Step 4: Simplify right side
   89,746x = 19,824,076,804
5. Step 5: Solve for x
   x = 19,824,076,804/89,746
6. Step 6: Final answer
   x = 220,890.92