Finding the Third Proportional to 105,474 and 158,659

Step by Step Solution

1. Step 1: Write the proportion equation
   105,474 : 158,659 = 158,659 : x
2. Step 2: Convert to fraction form
   105,474/158,659 = 158,659/x
3. Step 3: Cross multiply
   105,474x = 158,659 × 158,659
4. Step 4: Simplify right side
   105,474x = 25,172,678,281
5. Step 5: Solve for x
   x = 25,172,678,281/105,474
6. Step 6: Final answer
   x = 238,662.40