Finding the Third Proportional to 138,914 and 298,536

Step by Step Solution

1. Step 1: Write the proportion equation
   138,914 : 298,536 = 298,536 : x
2. Step 2: Convert to fraction form
   138,914/298,536 = 298,536/x
3. Step 3: Cross multiply
   138,914x = 298,536 × 298,536
4. Step 4: Simplify right side
   138,914x = 89,123,743,296
5. Step 5: Solve for x
   x = 89,123,743,296/138,914
6. Step 6: Final answer
   x = 641,574.95