Finding the Third Proportional to 69,648 and 150,380

Step by Step Solution

1. Step 1: Write the proportion equation
   69,648 : 150,380 = 150,380 : x
2. Step 2: Convert to fraction form
   69,648/150,380 = 150,380/x
3. Step 3: Cross multiply
   69,648x = 150,380 × 150,380
4. Step 4: Simplify right side
   69,648x = 22,614,144,400
5. Step 5: Solve for x
   x = 22,614,144,400/69,648
6. Step 6: Final answer
   x = 324,691.94