Finding the Third Proportional to 103,039 and 162,856

Step by Step Solution

1. Step 1: Write the proportion equation
   103,039 : 162,856 = 162,856 : x
2. Step 2: Convert to fraction form
   103,039/162,856 = 162,856/x
3. Step 3: Cross multiply
   103,039x = 162,856 × 162,856
4. Step 4: Simplify right side
   103,039x = 26,522,076,736
5. Step 5: Solve for x
   x = 26,522,076,736/103,039
6. Step 6: Final answer
   x = 257,398.43