Finding the Third Proportional to 538,596 and 1,166,340

Step by Step Solution

1. Step 1: Write the proportion equation
   538,596 : 1,166,340 = 1,166,340 : x
2. Step 2: Convert to fraction form
   538,596/1,166,340 = 1,166,340/x
3. Step 3: Cross multiply
   538,596x = 1,166,340 × 1,166,340
4. Step 4: Simplify right side
   538,596x = 1,360,348,995,600
5. Step 5: Solve for x
   x = 1,360,348,995,600/538,596
6. Step 6: Final answer
   x = 2,525,731.71