Finding the Third Proportional to 137,829 and 300,270

Step by Step Solution

1. Step 1: Write the proportion equation
   137,829 : 300,270 = 300,270 : x
2. Step 2: Convert to fraction form
   137,829/300,270 = 300,270/x
3. Step 3: Cross multiply
   137,829x = 300,270 × 300,270
4. Step 4: Simplify right side
   137,829x = 90,162,072,900
5. Step 5: Solve for x
   x = 90,162,072,900/137,829
6. Step 6: Final answer
   x = 654,158.94