Finding the Third Proportional to 109,408 and 240,200

Step by Step Solution

1. Step 1: Write the proportion equation
   109,408 : 240,200 = 240,200 : x
2. Step 2: Convert to fraction form
   109,408/240,200 = 240,200/x
3. Step 3: Cross multiply
   109,408x = 240,200 × 240,200
4. Step 4: Simplify right side
   109,408x = 57,696,040,000
5. Step 5: Solve for x
   x = 57,696,040,000/109,408
6. Step 6: Final answer
   x = 527,347.54