Finding the Third Proportional to 69,896 and 150,856

Step by Step Solution

1. Step 1: Write the proportion equation
   69,896 : 150,856 = 150,856 : x
2. Step 2: Convert to fraction form
   69,896/150,856 = 150,856/x
3. Step 3: Cross multiply
   69,896x = 150,856 × 150,856
4. Step 4: Simplify right side
   69,896x = 22,757,532,736
5. Step 5: Solve for x
   x = 22,757,532,736/69,896
6. Step 6: Final answer
   x = 325,591.35