Finding the Third Proportional to 196,796 and 426,208

Step by Step Solution

1. Step 1: Write the proportion equation
   196,796 : 426,208 = 426,208 : x
2. Step 2: Convert to fraction form
   196,796/426,208 = 426,208/x
3. Step 3: Cross multiply
   196,796x = 426,208 × 426,208
4. Step 4: Simplify right side
   196,796x = 181,653,259,264
5. Step 5: Solve for x
   x = 181,653,259,264/196,796
6. Step 6: Final answer
   x = 923,053.62