Finding the Third Proportional to 138,769 and 327,474.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,769 : 327,474.50 = 327,474.50 : x
2. Step 2: Convert to fraction form
   138,769/327,474.50 = 327,474.50/x
3. Step 3: Cross multiply
   138,769x = 327,474.50 × 327,474.50
4. Step 4: Simplify right side
   138,769x = 107,239,548,150.25
5. Step 5: Solve for x
   x = 107,239,548,150.25/138,769
6. Step 6: Final answer
   x = 772,791.82