Finding the Third Proportional to 137,300 and 295,666

Step by Step Solution

1. Step 1: Write the proportion equation
   137,300 : 295,666 = 295,666 : x
2. Step 2: Convert to fraction form
   137,300/295,666 = 295,666/x
3. Step 3: Cross multiply
   137,300x = 295,666 × 295,666
4. Step 4: Simplify right side
   137,300x = 87,418,383,556
5. Step 5: Solve for x
   x = 87,418,383,556/137,300
6. Step 6: Final answer
   x = 636,696.17