Finding the Third Proportional to 138,777 and 327,493.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,777 : 327,493.50 = 327,493.50 : x
2. Step 2: Convert to fraction form
   138,777/327,493.50 = 327,493.50/x
3. Step 3: Cross multiply
   138,777x = 327,493.50 × 327,493.50
4. Step 4: Simplify right side
   138,777x = 107,251,992,542.25
5. Step 5: Solve for x
   x = 107,251,992,542.25/138,777
6. Step 6: Final answer
   x = 772,836.94