Finding the Third Proportional to 137,241 and 213,871.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,241 : 213,871.50 = 213,871.50 : x
2. Step 2: Convert to fraction form
   137,241/213,871.50 = 213,871.50/x
3. Step 3: Cross multiply
   137,241x = 213,871.50 × 213,871.50
4. Step 4: Simplify right side
   137,241x = 45,741,018,512.25
5. Step 5: Solve for x
   x = 45,741,018,512.25/137,241
6. Step 6: Final answer
   x = 333,289.75