Finding the Third Proportional to 196,784 and 426,184

Step by Step Solution

1. Step 1: Write the proportion equation
   196,784 : 426,184 = 426,184 : x
2. Step 2: Convert to fraction form
   196,784/426,184 = 426,184/x
3. Step 3: Cross multiply
   196,784x = 426,184 × 426,184
4. Step 4: Simplify right side
   196,784x = 181,632,801,856
5. Step 5: Solve for x
   x = 181,632,801,856/196,784
6. Step 6: Final answer
   x = 923,005.94