Finding the Third Proportional to 137,290 and 300,824

Step by Step Solution

1. Step 1: Write the proportion equation
   137,290 : 300,824 = 300,824 : x
2. Step 2: Convert to fraction form
   137,290/300,824 = 300,824/x
3. Step 3: Cross multiply
   137,290x = 300,824 × 300,824
4. Step 4: Simplify right side
   137,290x = 90,495,078,976
5. Step 5: Solve for x
   x = 90,495,078,976/137,290
6. Step 6: Final answer
   x = 659,152.73