Finding the Third Proportional to 138,564 and 298,494

Step by Step Solution

1. Step 1: Write the proportion equation
   138,564 : 298,494 = 298,494 : x
2. Step 2: Convert to fraction form
   138,564/298,494 = 298,494/x
3. Step 3: Cross multiply
   138,564x = 298,494 × 298,494
4. Step 4: Simplify right side
   138,564x = 89,098,668,036
5. Step 5: Solve for x
   x = 89,098,668,036/138,564
6. Step 6: Final answer
   x = 643,014.55