Finding the Third Proportional to 196,513 and 421,064

Step by Step Solution

1. Step 1: Write the proportion equation
   196,513 : 421,064 = 421,064 : x
2. Step 2: Convert to fraction form
   196,513/421,064 = 421,064/x
3. Step 3: Cross multiply
   196,513x = 421,064 × 421,064
4. Step 4: Simplify right side
   196,513x = 177,294,892,096
5. Step 5: Solve for x
   x = 177,294,892,096/196,513
6. Step 6: Final answer
   x = 902,204.39