Finding the Third Proportional to 101,268 and 160,147

Step by Step Solution

1. Step 1: Write the proportion equation
   101,268 : 160,147 = 160,147 : x
2. Step 2: Convert to fraction form
   101,268/160,147 = 160,147/x
3. Step 3: Cross multiply
   101,268x = 160,147 × 160,147
4. Step 4: Simplify right side
   101,268x = 25,647,061,609
5. Step 5: Solve for x
   x = 25,647,061,609/101,268
6. Step 6: Final answer
   x = 253,259.29