Finding the Third Proportional to 105,724 and 144,978

Step by Step Solution

1. Step 1: Write the proportion equation
   105,724 : 144,978 = 144,978 : x
2. Step 2: Convert to fraction form
   105,724/144,978 = 144,978/x
3. Step 3: Cross multiply
   105,724x = 144,978 × 144,978
4. Step 4: Simplify right side
   105,724x = 21,018,620,484
5. Step 5: Solve for x
   x = 21,018,620,484/105,724
6. Step 6: Final answer
   x = 198,806.52