Finding the Third Proportional to 105,379 and 158,072

Step by Step Solution

1. Step 1: Write the proportion equation
   105,379 : 158,072 = 158,072 : x
2. Step 2: Convert to fraction form
   105,379/158,072 = 158,072/x
3. Step 3: Cross multiply
   105,379x = 158,072 × 158,072
4. Step 4: Simplify right side
   105,379x = 24,986,757,184
5. Step 5: Solve for x
   x = 24,986,757,184/105,379
6. Step 6: Final answer
   x = 237,113.25