Finding the Third Proportional to 138,556.50 and 298,743

Step by Step Solution

1. Step 1: Write the proportion equation
   138,556.50 : 298,743 = 298,743 : x
2. Step 2: Convert to fraction form
   138,556.50/298,743 = 298,743/x
3. Step 3: Cross multiply
   138,556.50x = 298,743 × 298,743
4. Step 4: Simplify right side
   138,556.50x = 89,247,380,049
5. Step 5: Solve for x
   x = 89,247,380,049/138,556.50
6. Step 6: Final answer
   x = 644,122.65