Finding the Third Proportional to 102,408 and 155,040

Step by Step Solution

1. Step 1: Write the proportion equation
   102,408 : 155,040 = 155,040 : x
2. Step 2: Convert to fraction form
   102,408/155,040 = 155,040/x
3. Step 3: Cross multiply
   102,408x = 155,040 × 155,040
4. Step 4: Simplify right side
   102,408x = 24,037,401,600
5. Step 5: Solve for x
   x = 24,037,401,600/102,408
6. Step 6: Final answer
   x = 234,721.91