Finding the Third Proportional to 538,646 and 1,166,436

Step by Step Solution

1. Step 1: Write the proportion equation
   538,646 : 1,166,436 = 1,166,436 : x
2. Step 2: Convert to fraction form
   538,646/1,166,436 = 1,166,436/x
3. Step 3: Cross multiply
   538,646x = 1,166,436 × 1,166,436
4. Step 4: Simplify right side
   538,646x = 1,360,572,942,096
5. Step 5: Solve for x
   x = 1,360,572,942,096/538,646
6. Step 6: Final answer
   x = 2,525,913.02