Finding the Third Proportional to 557,680 and 1,196,312

Step by Step Solution

1. Step 1: Write the proportion equation
   557,680 : 1,196,312 = 1,196,312 : x
2. Step 2: Convert to fraction form
   557,680/1,196,312 = 1,196,312/x
3. Step 3: Cross multiply
   557,680x = 1,196,312 × 1,196,312
4. Step 4: Simplify right side
   557,680x = 1,431,162,401,344
5. Step 5: Solve for x
   x = 1,431,162,401,344/557,680
6. Step 6: Final answer
   x = 2,566,278.87