Finding the Third Proportional to 101,256 and 160,938

Step by Step Solution

1. Step 1: Write the proportion equation
   101,256 : 160,938 = 160,938 : x
2. Step 2: Convert to fraction form
   101,256/160,938 = 160,938/x
3. Step 3: Cross multiply
   101,256x = 160,938 × 160,938
4. Step 4: Simplify right side
   101,256x = 25,901,039,844
5. Step 5: Solve for x
   x = 25,901,039,844/101,256
6. Step 6: Final answer
   x = 255,797.58