Finding the Third Proportional to 138,780 and 327,499

Step by Step Solution

1. Step 1: Write the proportion equation
   138,780 : 327,499 = 327,499 : x
2. Step 2: Convert to fraction form
   138,780/327,499 = 327,499/x
3. Step 3: Cross multiply
   138,780x = 327,499 × 327,499
4. Step 4: Simplify right side
   138,780x = 107,255,595,001
5. Step 5: Solve for x
   x = 107,255,595,001/138,780
6. Step 6: Final answer
   x = 772,846.20