Finding the Third Proportional to 105,882 and 158,805

Step by Step Solution

1. Step 1: Write the proportion equation
   105,882 : 158,805 = 158,805 : x
2. Step 2: Convert to fraction form
   105,882/158,805 = 158,805/x
3. Step 3: Cross multiply
   105,882x = 158,805 × 158,805
4. Step 4: Simplify right side
   105,882x = 25,219,028,025
5. Step 5: Solve for x
   x = 25,219,028,025/105,882
6. Step 6: Final answer
   x = 238,180.50