Finding the Third Proportional to 196,512 and 421,061

Step by Step Solution

1. Step 1: Write the proportion equation
   196,512 : 421,061 = 421,061 : x
2. Step 2: Convert to fraction form
   196,512/421,061 = 421,061/x
3. Step 3: Cross multiply
   196,512x = 421,061 × 421,061
4. Step 4: Simplify right side
   196,512x = 177,292,365,721
5. Step 5: Solve for x
   x = 177,292,365,721/196,512
6. Step 6: Final answer
   x = 902,196.13