Finding the Third Proportional to 137,952 and 301,734

Step by Step Solution

1. Step 1: Write the proportion equation
   137,952 : 301,734 = 301,734 : x
2. Step 2: Convert to fraction form
   137,952/301,734 = 301,734/x
3. Step 3: Cross multiply
   137,952x = 301,734 × 301,734
4. Step 4: Simplify right side
   137,952x = 91,043,406,756
5. Step 5: Solve for x
   x = 91,043,406,756/137,952
6. Step 6: Final answer
   x = 659,964.38