Finding the Third Proportional to 137,739 and 212,836.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,739 : 212,836.50 = 212,836.50 : x
2. Step 2: Convert to fraction form
   137,739/212,836.50 = 212,836.50/x
3. Step 3: Cross multiply
   137,739x = 212,836.50 × 212,836.50
4. Step 4: Simplify right side
   137,739x = 45,299,375,732.25
5. Step 5: Solve for x
   x = 45,299,375,732.25/137,739
6. Step 6: Final answer
   x = 328,878.35