Finding the Third Proportional to 138,665.25 and 299,470.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,665.25 : 299,470.50 = 299,470.50 : x
2. Step 2: Convert to fraction form
   138,665.25/299,470.50 = 299,470.50/x
3. Step 3: Cross multiply
   138,665.25x = 299,470.50 × 299,470.50
4. Step 4: Simplify right side
   138,665.25x = 89,682,580,370.25
5. Step 5: Solve for x
   x = 89,682,580,370.25/138,665.25
6. Step 6: Final answer
   x = 646,755.99