Finding the Third Proportional to 35,822 and 78,204

Step by Step Solution

1. Step 1: Write the proportion equation
   35,822 : 78,204 = 78,204 : x
2. Step 2: Convert to fraction form
   35,822/78,204 = 78,204/x
3. Step 3: Cross multiply
   35,822x = 78,204 × 78,204
4. Step 4: Simplify right side
   35,822x = 6,115,865,616
5. Step 5: Solve for x
   x = 6,115,865,616/35,822
6. Step 6: Final answer
   x = 170,729.32