Finding the Third Proportional to 103,681 and 160,105

Step by Step Solution

1. Step 1: Write the proportion equation
   103,681 : 160,105 = 160,105 : x
2. Step 2: Convert to fraction form
   103,681/160,105 = 160,105/x
3. Step 3: Cross multiply
   103,681x = 160,105 × 160,105
4. Step 4: Simplify right side
   103,681x = 25,633,611,025
5. Step 5: Solve for x
   x = 25,633,611,025/103,681
6. Step 6: Final answer
   x = 247,235.38