Finding the Third Proportional to 89,846 and 140,521

Step by Step Solution

1. Step 1: Write the proportion equation
   89,846 : 140,521 = 140,521 : x
2. Step 2: Convert to fraction form
   89,846/140,521 = 140,521/x
3. Step 3: Cross multiply
   89,846x = 140,521 × 140,521
4. Step 4: Simplify right side
   89,846x = 19,746,151,441
5. Step 5: Solve for x
   x = 19,746,151,441/89,846
6. Step 6: Final answer
   x = 219,777.75