Finding the Third Proportional to 138,369 and 298,540.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,369 : 298,540.50 = 298,540.50 : x
2. Step 2: Convert to fraction form
   138,369/298,540.50 = 298,540.50/x
3. Step 3: Cross multiply
   138,369x = 298,540.50 × 298,540.50
4. Step 4: Simplify right side
   138,369x = 89,126,430,140.25
5. Step 5: Solve for x
   x = 89,126,430,140.25/138,369
6. Step 6: Final answer
   x = 644,121.37