Finding the Third Proportional to 78,302 and 166,864

Step by Step Solution

1. Step 1: Write the proportion equation
   78,302 : 166,864 = 166,864 : x
2. Step 2: Convert to fraction form
   78,302/166,864 = 166,864/x
3. Step 3: Cross multiply
   78,302x = 166,864 × 166,864
4. Step 4: Simplify right side
   78,302x = 27,843,594,496
5. Step 5: Solve for x
   x = 27,843,594,496/78,302
6. Step 6: Final answer
   x = 355,592.38