Finding the Third Proportional to 278,676 and 602,064

Step by Step Solution

1. Step 1: Write the proportion equation
   278,676 : 602,064 = 602,064 : x
2. Step 2: Convert to fraction form
   278,676/602,064 = 602,064/x
3. Step 3: Cross multiply
   278,676x = 602,064 × 602,064
4. Step 4: Simplify right side
   278,676x = 362,481,060,096
5. Step 5: Solve for x
   x = 362,481,060,096/278,676
6. Step 6: Final answer
   x = 1,300,725.79