Finding the Third Proportional to 103,739 and 160,216

Step by Step Solution

1. Step 1: Write the proportion equation
   103,739 : 160,216 = 160,216 : x
2. Step 2: Convert to fraction form
   103,739/160,216 = 160,216/x
3. Step 3: Cross multiply
   103,739x = 160,216 × 160,216
4. Step 4: Simplify right side
   103,739x = 25,669,166,656
5. Step 5: Solve for x
   x = 25,669,166,656/103,739
6. Step 6: Final answer
   x = 247,439.89