Finding the Third Proportional to 105,884 and 159,062

Step by Step Solution

1. Step 1: Write the proportion equation
   105,884 : 159,062 = 159,062 : x
2. Step 2: Convert to fraction form
   105,884/159,062 = 159,062/x
3. Step 3: Cross multiply
   105,884x = 159,062 × 159,062
4. Step 4: Simplify right side
   105,884x = 25,300,719,844
5. Step 5: Solve for x
   x = 25,300,719,844/105,884
6. Step 6: Final answer
   x = 238,947.53