Finding the Third Proportional to 69,679 and 150,538

Step by Step Solution

1. Step 1: Write the proportion equation
   69,679 : 150,538 = 150,538 : x
2. Step 2: Convert to fraction form
   69,679/150,538 = 150,538/x
3. Step 3: Cross multiply
   69,679x = 150,538 × 150,538
4. Step 4: Simplify right side
   69,679x = 22,661,689,444
5. Step 5: Solve for x
   x = 22,661,689,444/69,679
6. Step 6: Final answer
   x = 325,229.83