Finding the Third Proportional to 137,978 and 301,228

Step by Step Solution

1. Step 1: Write the proportion equation
   137,978 : 301,228 = 301,228 : x
2. Step 2: Convert to fraction form
   137,978/301,228 = 301,228/x
3. Step 3: Cross multiply
   137,978x = 301,228 × 301,228
4. Step 4: Simplify right side
   137,978x = 90,738,307,984
5. Step 5: Solve for x
   x = 90,738,307,984/137,978
6. Step 6: Final answer
   x = 657,628.81