Finding the Third Proportional to 105,032 and 159,708

Step by Step Solution

1. Step 1: Write the proportion equation
   105,032 : 159,708 = 159,708 : x
2. Step 2: Convert to fraction form
   105,032/159,708 = 159,708/x
3. Step 3: Cross multiply
   105,032x = 159,708 × 159,708
4. Step 4: Simplify right side
   105,032x = 25,506,645,264
5. Step 5: Solve for x
   x = 25,506,645,264/105,032
6. Step 6: Final answer
   x = 242,846.42