Finding the Third Proportional to 100,018 and 140,664

Step by Step Solution

1. Step 1: Write the proportion equation
   100,018 : 140,664 = 140,664 : x
2. Step 2: Convert to fraction form
   100,018/140,664 = 140,664/x
3. Step 3: Cross multiply
   100,018x = 140,664 × 140,664
4. Step 4: Simplify right side
   100,018x = 19,786,360,896
5. Step 5: Solve for x
   x = 19,786,360,896/100,018
6. Step 6: Final answer
   x = 197,828.00