Finding the Third Proportional to 69,801 and 145,503

Step by Step Solution

1. Step 1: Write the proportion equation
   69,801 : 145,503 = 145,503 : x
2. Step 2: Convert to fraction form
   69,801/145,503 = 145,503/x
3. Step 3: Cross multiply
   69,801x = 145,503 × 145,503
4. Step 4: Simplify right side
   69,801x = 21,171,123,009
5. Step 5: Solve for x
   x = 21,171,123,009/69,801
6. Step 6: Final answer
   x = 303,306.87