Finding the Third Proportional to 1,132,049 and 1,538,229

Step by Step Solution

1. Step 1: Write the proportion equation
   1,132,049 : 1,538,229 = 1,538,229 : x
2. Step 2: Convert to fraction form
   1,132,049/1,538,229 = 1,538,229/x
3. Step 3: Cross multiply
   1,132,049x = 1,538,229 × 1,538,229
4. Step 4: Simplify right side
   1,132,049x = 2,366,148,456,441
5. Step 5: Solve for x
   x = 2,366,148,456,441/1,132,049
6. Step 6: Final answer
   x = 2,090,146.68