Finding the Third Proportional to 276,768 and 428,064

Step by Step Solution

1. Step 1: Write the proportion equation
   276,768 : 428,064 = 428,064 : x
2. Step 2: Convert to fraction form
   276,768/428,064 = 428,064/x
3. Step 3: Cross multiply
   276,768x = 428,064 × 428,064
4. Step 4: Simplify right side
   276,768x = 183,238,788,096
5. Step 5: Solve for x
   x = 183,238,788,096/276,768
6. Step 6: Final answer
   x = 662,066.38