Finding the Third Proportional to 105,008 and 159,454

Step by Step Solution

1. Step 1: Write the proportion equation
   105,008 : 159,454 = 159,454 : x
2. Step 2: Convert to fraction form
   105,008/159,454 = 159,454/x
3. Step 3: Cross multiply
   105,008x = 159,454 × 159,454
4. Step 4: Simplify right side
   105,008x = 25,425,578,116
5. Step 5: Solve for x
   x = 25,425,578,116/105,008
6. Step 6: Final answer
   x = 242,129.92