Finding the Third Proportional to 542,680 and 1,178,768

Step by Step Solution

1. Step 1: Write the proportion equation
   542,680 : 1,178,768 = 1,178,768 : x
2. Step 2: Convert to fraction form
   542,680/1,178,768 = 1,178,768/x
3. Step 3: Cross multiply
   542,680x = 1,178,768 × 1,178,768
4. Step 4: Simplify right side
   542,680x = 1,389,493,997,824
5. Step 5: Solve for x
   x = 1,389,493,997,824/542,680
6. Step 6: Final answer
   x = 2,560,429.72