Finding the Third Proportional to 72,686 and 160,916

Step by Step Solution

1. Step 1: Write the proportion equation
   72,686 : 160,916 = 160,916 : x
2. Step 2: Convert to fraction form
   72,686/160,916 = 160,916/x
3. Step 3: Cross multiply
   72,686x = 160,916 × 160,916
4. Step 4: Simplify right side
   72,686x = 25,893,959,056
5. Step 5: Solve for x
   x = 25,893,959,056/72,686
6. Step 6: Final answer
   x = 356,244.11