Finding the Third Proportional to 69,508 and 150,036

Step by Step Solution

1. Step 1: Write the proportion equation
   69,508 : 150,036 = 150,036 : x
2. Step 2: Convert to fraction form
   69,508/150,036 = 150,036/x
3. Step 3: Cross multiply
   69,508x = 150,036 × 150,036
4. Step 4: Simplify right side
   69,508x = 22,510,801,296
5. Step 5: Solve for x
   x = 22,510,801,296/69,508
6. Step 6: Final answer
   x = 323,859.14