Finding the Third Proportional to 140,713 and 301,109

Step by Step Solution

1. Step 1: Write the proportion equation
   140,713 : 301,109 = 301,109 : x
2. Step 2: Convert to fraction form
   140,713/301,109 = 301,109/x
3. Step 3: Cross multiply
   140,713x = 301,109 × 301,109
4. Step 4: Simplify right side
   140,713x = 90,666,629,881
5. Step 5: Solve for x
   x = 90,666,629,881/140,713
6. Step 6: Final answer
   x = 644,337.27