Finding the Third Proportional to 140,299 and 300,523

Step by Step Solution

1. Step 1: Write the proportion equation
   140,299 : 300,523 = 300,523 : x
2. Step 2: Convert to fraction form
   140,299/300,523 = 300,523/x
3. Step 3: Cross multiply
   140,299x = 300,523 × 300,523
4. Step 4: Simplify right side
   140,299x = 90,314,073,529
5. Step 5: Solve for x
   x = 90,314,073,529/140,299
6. Step 6: Final answer
   x = 643,725.71