Finding the Third Proportional to 137,311 and 289,384

Step by Step Solution

1. Step 1: Write the proportion equation
   137,311 : 289,384 = 289,384 : x
2. Step 2: Convert to fraction form
   137,311/289,384 = 289,384/x
3. Step 3: Cross multiply
   137,311x = 289,384 × 289,384
4. Step 4: Simplify right side
   137,311x = 83,743,099,456
5. Step 5: Solve for x
   x = 83,743,099,456/137,311
6. Step 6: Final answer
   x = 609,879.03