Finding the Third Proportional to 74,856 and 160,086

Step by Step Solution

1. Step 1: Write the proportion equation
   74,856 : 160,086 = 160,086 : x
2. Step 2: Convert to fraction form
   74,856/160,086 = 160,086/x
3. Step 3: Cross multiply
   74,856x = 160,086 × 160,086
4. Step 4: Simplify right side
   74,856x = 25,627,527,396
5. Step 5: Solve for x
   x = 25,627,527,396/74,856
6. Step 6: Final answer
   x = 342,357.69