Finding the Third Proportional to 300,010 and 656,064

Step by Step Solution

1. Step 1: Write the proportion equation
   300,010 : 656,064 = 656,064 : x
2. Step 2: Convert to fraction form
   300,010/656,064 = 656,064/x
3. Step 3: Cross multiply
   300,010x = 656,064 × 656,064
4. Step 4: Simplify right side
   300,010x = 430,419,972,096
5. Step 5: Solve for x
   x = 430,419,972,096/300,010
6. Step 6: Final answer
   x = 1,434,685.42