Finding the Third Proportional to 140,780 and 303,564

Step by Step Solution

1. Step 1: Write the proportion equation
   140,780 : 303,564 = 303,564 : x
2. Step 2: Convert to fraction form
   140,780/303,564 = 303,564/x
3. Step 3: Cross multiply
   140,780x = 303,564 × 303,564
4. Step 4: Simplify right side
   140,780x = 92,151,102,096
5. Step 5: Solve for x
   x = 92,151,102,096/140,780
6. Step 6: Final answer
   x = 654,575.24