Finding the Third Proportional to 89,848 and 140,524

Step by Step Solution

1. Step 1: Write the proportion equation
   89,848 : 140,524 = 140,524 : x
2. Step 2: Convert to fraction form
   89,848/140,524 = 140,524/x
3. Step 3: Cross multiply
   89,848x = 140,524 × 140,524
4. Step 4: Simplify right side
   89,848x = 19,746,994,576
5. Step 5: Solve for x
   x = 19,746,994,576/89,848
6. Step 6: Final answer
   x = 219,782.24