Finding the Third Proportional to 300,119 and 457,801

Step by Step Solution

1. Step 1: Write the proportion equation
   300,119 : 457,801 = 457,801 : x
2. Step 2: Convert to fraction form
   300,119/457,801 = 457,801/x
3. Step 3: Cross multiply
   300,119x = 457,801 × 457,801
4. Step 4: Simplify right side
   300,119x = 209,581,755,601
5. Step 5: Solve for x
   x = 209,581,755,601/300,119
6. Step 6: Final answer
   x = 698,328.85