Finding the Third Proportional to 140,470 and 300,624

Step by Step Solution

1. Step 1: Write the proportion equation
   140,470 : 300,624 = 300,624 : x
2. Step 2: Convert to fraction form
   140,470/300,624 = 300,624/x
3. Step 3: Cross multiply
   140,470x = 300,624 × 300,624
4. Step 4: Simplify right side
   140,470x = 90,374,789,376
5. Step 5: Solve for x
   x = 90,374,789,376/140,470
6. Step 6: Final answer
   x = 643,374.31