Finding the Third Proportional to 92,912 and 196,864

Step by Step Solution

1. Step 1: Write the proportion equation
   92,912 : 196,864 = 196,864 : x
2. Step 2: Convert to fraction form
   92,912/196,864 = 196,864/x
3. Step 3: Cross multiply
   92,912x = 196,864 × 196,864
4. Step 4: Simplify right side
   92,912x = 38,755,434,496
5. Step 5: Solve for x
   x = 38,755,434,496/92,912
6. Step 6: Final answer
   x = 417,119.80