Finding the Third Proportional to 105,019 and 159,470

Step by Step Solution

1. Step 1: Write the proportion equation
   105,019 : 159,470 = 159,470 : x
2. Step 2: Convert to fraction form
   105,019/159,470 = 159,470/x
3. Step 3: Cross multiply
   105,019x = 159,470 × 159,470
4. Step 4: Simplify right side
   105,019x = 25,430,680,900
5. Step 5: Solve for x
   x = 25,430,680,900/105,019
6. Step 6: Final answer
   x = 242,153.14