Finding the Third Proportional to 525,193 and 1,145,442

Step by Step Solution

1. Step 1: Write the proportion equation
   525,193 : 1,145,442 = 1,145,442 : x
2. Step 2: Convert to fraction form
   525,193/1,145,442 = 1,145,442/x
3. Step 3: Cross multiply
   525,193x = 1,145,442 × 1,145,442
4. Step 4: Simplify right side
   525,193x = 1,312,037,375,364
5. Step 5: Solve for x
   x = 1,312,037,375,364/525,193
6. Step 6: Final answer
   x = 2,498,200.42