Finding the Third Proportional to 137,456 and 212,836

Step by Step Solution

1. Step 1: Write the proportion equation
   137,456 : 212,836 = 212,836 : x
2. Step 2: Convert to fraction form
   137,456/212,836 = 212,836/x
3. Step 3: Cross multiply
   137,456x = 212,836 × 212,836
4. Step 4: Simplify right side
   137,456x = 45,299,162,896
5. Step 5: Solve for x
   x = 45,299,162,896/137,456
6. Step 6: Final answer
   x = 329,553.91