Finding the Third Proportional to 506,876 and 1,178,614

Step by Step Solution

1. Step 1: Write the proportion equation
   506,876 : 1,178,614 = 1,178,614 : x
2. Step 2: Convert to fraction form
   506,876/1,178,614 = 1,178,614/x
3. Step 3: Cross multiply
   506,876x = 1,178,614 × 1,178,614
4. Step 4: Simplify right side
   506,876x = 1,389,130,960,996
5. Step 5: Solve for x
   x = 1,389,130,960,996/506,876
6. Step 6: Final answer
   x = 2,740,573.55