Finding the Third Proportional to 137,783 and 300,838

Step by Step Solution

1. Step 1: Write the proportion equation
   137,783 : 300,838 = 300,838 : x
2. Step 2: Convert to fraction form
   137,783/300,838 = 300,838/x
3. Step 3: Cross multiply
   137,783x = 300,838 × 300,838
4. Step 4: Simplify right side
   137,783x = 90,503,502,244
5. Step 5: Solve for x
   x = 90,503,502,244/137,783
6. Step 6: Final answer
   x = 656,855.36