Finding the Third Proportional to 138,749 and 327,426.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,749 : 327,426.50 = 327,426.50 : x
2. Step 2: Convert to fraction form
   138,749/327,426.50 = 327,426.50/x
3. Step 3: Cross multiply
   138,749x = 327,426.50 × 327,426.50
4. Step 4: Simplify right side
   138,749x = 107,208,112,902.25
5. Step 5: Solve for x
   x = 107,208,112,902.25/138,749
6. Step 6: Final answer
   x = 772,676.65