Finding the Third Proportional to 33,786 and 78,204

Step by Step Solution

1. Step 1: Write the proportion equation
   33,786 : 78,204 = 78,204 : x
2. Step 2: Convert to fraction form
   33,786/78,204 = 78,204/x
3. Step 3: Cross multiply
   33,786x = 78,204 × 78,204
4. Step 4: Simplify right side
   33,786x = 6,115,865,616
5. Step 5: Solve for x
   x = 6,115,865,616/33,786
6. Step 6: Final answer
   x = 181,017.75