Finding the Third Proportional to 340,426 and 538,799

Step by Step Solution

1. Step 1: Write the proportion equation
   340,426 : 538,799 = 538,799 : x
2. Step 2: Convert to fraction form
   340,426/538,799 = 538,799/x
3. Step 3: Cross multiply
   340,426x = 538,799 × 538,799
4. Step 4: Simplify right side
   340,426x = 290,304,362,401
5. Step 5: Solve for x
   x = 290,304,362,401/340,426
6. Step 6: Final answer
   x = 852,767.89