Finding the Third Proportional to 137,738 and 301,684

Step by Step Solution

1. Step 1: Write the proportion equation
   137,738 : 301,684 = 301,684 : x
2. Step 2: Convert to fraction form
   137,738/301,684 = 301,684/x
3. Step 3: Cross multiply
   137,738x = 301,684 × 301,684
4. Step 4: Simplify right side
   137,738x = 91,013,235,856
5. Step 5: Solve for x
   x = 91,013,235,856/137,738
6. Step 6: Final answer
   x = 660,770.71