Finding the Third Proportional to 90,216 and 192,946

Step by Step Solution

1. Step 1: Write the proportion equation
   90,216 : 192,946 = 192,946 : x
2. Step 2: Convert to fraction form
   90,216/192,946 = 192,946/x
3. Step 3: Cross multiply
   90,216x = 192,946 × 192,946
4. Step 4: Simplify right side
   90,216x = 37,228,158,916
5. Step 5: Solve for x
   x = 37,228,158,916/90,216
6. Step 6: Final answer
   x = 412,655.84