Finding the Third Proportional to 1,027,398 and 1,636,221

Step by Step Solution

1. Step 1: Write the proportion equation
   1,027,398 : 1,636,221 = 1,636,221 : x
2. Step 2: Convert to fraction form
   1,027,398/1,636,221 = 1,636,221/x
3. Step 3: Cross multiply
   1,027,398x = 1,636,221 × 1,636,221
4. Step 4: Simplify right side
   1,027,398x = 2,677,219,160,841
5. Step 5: Solve for x
   x = 2,677,219,160,841/1,027,398
6. Step 6: Final answer
   x = 2,605,824.77