Finding the Third Proportional to 137,781 and 300,834

Step by Step Solution

1. Step 1: Write the proportion equation
   137,781 : 300,834 = 300,834 : x
2. Step 2: Convert to fraction form
   137,781/300,834 = 300,834/x
3. Step 3: Cross multiply
   137,781x = 300,834 × 300,834
4. Step 4: Simplify right side
   137,781x = 90,501,095,556
5. Step 5: Solve for x
   x = 90,501,095,556/137,781
6. Step 6: Final answer
   x = 656,847.43