Finding the Third Proportional to 137,842 and 300,296

Step by Step Solution

1. Step 1: Write the proportion equation
   137,842 : 300,296 = 300,296 : x
2. Step 2: Convert to fraction form
   137,842/300,296 = 300,296/x
3. Step 3: Cross multiply
   137,842x = 300,296 × 300,296
4. Step 4: Simplify right side
   137,842x = 90,177,687,616
5. Step 5: Solve for x
   x = 90,177,687,616/137,842
6. Step 6: Final answer
   x = 654,210.53