Finding the Third Proportional to 138,741 and 298,524

Step by Step Solution

1. Step 1: Write the proportion equation
   138,741 : 298,524 = 298,524 : x
2. Step 2: Convert to fraction form
   138,741/298,524 = 298,524/x
3. Step 3: Cross multiply
   138,741x = 298,524 × 298,524
4. Step 4: Simplify right side
   138,741x = 89,116,578,576
5. Step 5: Solve for x
   x = 89,116,578,576/138,741
6. Step 6: Final answer
   x = 642,323.31