Finding the Third Proportional to 219,096 and 337,936

Step by Step Solution

1. Step 1: Write the proportion equation
   219,096 : 337,936 = 337,936 : x
2. Step 2: Convert to fraction form
   219,096/337,936 = 337,936/x
3. Step 3: Cross multiply
   219,096x = 337,936 × 337,936
4. Step 4: Simplify right side
   219,096x = 114,200,740,096
5. Step 5: Solve for x
   x = 114,200,740,096/219,096
6. Step 6: Final answer
   x = 521,236.08