Finding the Third Proportional to 105,022 and 159,474.75

Step by Step Solution

1. Step 1: Write the proportion equation
   105,022 : 159,474.75 = 159,474.75 : x
2. Step 2: Convert to fraction form
   105,022/159,474.75 = 159,474.75/x
3. Step 3: Cross multiply
   105,022x = 159,474.75 × 159,474.75
4. Step 4: Simplify right side
   105,022x = 25,432,195,887.56
5. Step 5: Solve for x
   x = 25,432,195,887.56/105,022
6. Step 6: Final answer
   x = 242,160.65