Finding the Third Proportional to 196,416 and 431,064

Step by Step Solution

1. Step 1: Write the proportion equation
   196,416 : 431,064 = 431,064 : x
2. Step 2: Convert to fraction form
   196,416/431,064 = 431,064/x
3. Step 3: Cross multiply
   196,416x = 431,064 × 431,064
4. Step 4: Simplify right side
   196,416x = 185,816,172,096
5. Step 5: Solve for x
   x = 185,816,172,096/196,416
6. Step 6: Final answer
   x = 946,033.79