Finding the Third Proportional to 105,386 and 158,083

Step by Step Solution

1. Step 1: Write the proportion equation
   105,386 : 158,083 = 158,083 : x
2. Step 2: Convert to fraction form
   105,386/158,083 = 158,083/x
3. Step 3: Cross multiply
   105,386x = 158,083 × 158,083
4. Step 4: Simplify right side
   105,386x = 24,990,234,889
5. Step 5: Solve for x
   x = 24,990,234,889/105,386
6. Step 6: Final answer
   x = 237,130.50