Finding the Third Proportional to 368,899.50 and 542,799

Step by Step Solution

1. Step 1: Write the proportion equation
   368,899.50 : 542,799 = 542,799 : x
2. Step 2: Convert to fraction form
   368,899.50/542,799 = 542,799/x
3. Step 3: Cross multiply
   368,899.50x = 542,799 × 542,799
4. Step 4: Simplify right side
   368,899.50x = 294,630,754,401
5. Step 5: Solve for x
   x = 294,630,754,401/368,899.50
6. Step 6: Final answer
   x = 798,674.85