Finding the Third Proportional to 78,462 and 120,636

Step by Step Solution

1. Step 1: Write the proportion equation
   78,462 : 120,636 = 120,636 : x
2. Step 2: Convert to fraction form
   78,462/120,636 = 120,636/x
3. Step 3: Cross multiply
   78,462x = 120,636 × 120,636
4. Step 4: Simplify right side
   78,462x = 14,553,044,496
5. Step 5: Solve for x
   x = 14,553,044,496/78,462
6. Step 6: Final answer
   x = 185,478.89