Finding the Third Proportional to 137,685 and 301,290

Step by Step Solution

1. Step 1: Write the proportion equation
   137,685 : 301,290 = 301,290 : x
2. Step 2: Convert to fraction form
   137,685/301,290 = 301,290/x
3. Step 3: Cross multiply
   137,685x = 301,290 × 301,290
4. Step 4: Simplify right side
   137,685x = 90,775,664,100
5. Step 5: Solve for x
   x = 90,775,664,100/137,685
6. Step 6: Final answer
   x = 659,299.59