Finding the Third Proportional to 90,556 and 196,669

Step by Step Solution

1. Step 1: Write the proportion equation
   90,556 : 196,669 = 196,669 : x
2. Step 2: Convert to fraction form
   90,556/196,669 = 196,669/x
3. Step 3: Cross multiply
   90,556x = 196,669 × 196,669
4. Step 4: Simplify right side
   90,556x = 38,678,695,561
5. Step 5: Solve for x
   x = 38,678,695,561/90,556
6. Step 6: Final answer
   x = 427,124.60