Finding the Third Proportional to 73,844 and 160,042

Step by Step Solution

1. Step 1: Write the proportion equation
   73,844 : 160,042 = 160,042 : x
2. Step 2: Convert to fraction form
   73,844/160,042 = 160,042/x
3. Step 3: Cross multiply
   73,844x = 160,042 × 160,042
4. Step 4: Simplify right side
   73,844x = 25,613,441,764
5. Step 5: Solve for x
   x = 25,613,441,764/73,844
6. Step 6: Final answer
   x = 346,858.81