Finding the Third Proportional to 137,638 and 301,520

Step by Step Solution

1. Step 1: Write the proportion equation
   137,638 : 301,520 = 301,520 : x
2. Step 2: Convert to fraction form
   137,638/301,520 = 301,520/x
3. Step 3: Cross multiply
   137,638x = 301,520 × 301,520
4. Step 4: Simplify right side
   137,638x = 90,914,310,400
5. Step 5: Solve for x
   x = 90,914,310,400/137,638
6. Step 6: Final answer
   x = 660,532.05