Finding the Third Proportional to 137,684 and 301,288

Step by Step Solution

1. Step 1: Write the proportion equation
   137,684 : 301,288 = 301,288 : x
2. Step 2: Convert to fraction form
   137,684/301,288 = 301,288/x
3. Step 3: Cross multiply
   137,684x = 301,288 × 301,288
4. Step 4: Simplify right side
   137,684x = 90,774,458,944
5. Step 5: Solve for x
   x = 90,774,458,944/137,684
6. Step 6: Final answer
   x = 659,295.63