Finding the Third Proportional to 78,192 and 120,546

Step by Step Solution

1. Step 1: Write the proportion equation
   78,192 : 120,546 = 120,546 : x
2. Step 2: Convert to fraction form
   78,192/120,546 = 120,546/x
3. Step 3: Cross multiply
   78,192x = 120,546 × 120,546
4. Step 4: Simplify right side
   78,192x = 14,531,338,116
5. Step 5: Solve for x
   x = 14,531,338,116/78,192
6. Step 6: Final answer
   x = 185,841.75