Finding the Third Proportional to 138,522 and 298,914

Step by Step Solution

1. Step 1: Write the proportion equation
   138,522 : 298,914 = 298,914 : x
2. Step 2: Convert to fraction form
   138,522/298,914 = 298,914/x
3. Step 3: Cross multiply
   138,522x = 298,914 × 298,914
4. Step 4: Simplify right side
   138,522x = 89,349,579,396
5. Step 5: Solve for x
   x = 89,349,579,396/138,522
6. Step 6: Final answer
   x = 645,020.86