Finding the Third Proportional to 137,749 and 212,857.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,749 : 212,857.50 = 212,857.50 : x
2. Step 2: Convert to fraction form
   137,749/212,857.50 = 212,857.50/x
3. Step 3: Cross multiply
   137,749x = 212,857.50 × 212,857.50
4. Step 4: Simplify right side
   137,749x = 45,308,315,306.25
5. Step 5: Solve for x
   x = 45,308,315,306.25/137,749
6. Step 6: Final answer
   x = 328,919.38