Finding the Third Proportional to 196,222 and 415,820

Step by Step Solution

1. Step 1: Write the proportion equation
   196,222 : 415,820 = 415,820 : x
2. Step 2: Convert to fraction form
   196,222/415,820 = 415,820/x
3. Step 3: Cross multiply
   196,222x = 415,820 × 415,820
4. Step 4: Simplify right side
   196,222x = 172,906,272,400
5. Step 5: Solve for x
   x = 172,906,272,400/196,222
6. Step 6: Final answer
   x = 881,176.79