Finding the Third Proportional to 72,886 and 157,256

Step by Step Solution

1. Step 1: Write the proportion equation
   72,886 : 157,256 = 157,256 : x
2. Step 2: Convert to fraction form
   72,886/157,256 = 157,256/x
3. Step 3: Cross multiply
   72,886x = 157,256 × 157,256
4. Step 4: Simplify right side
   72,886x = 24,729,449,536
5. Step 5: Solve for x
   x = 24,729,449,536/72,886
6. Step 6: Final answer
   x = 339,289.43