Finding the Third Proportional to 1,077,210 and 1,638,201

Step by Step Solution

1. Step 1: Write the proportion equation
   1,077,210 : 1,638,201 = 1,638,201 : x
2. Step 2: Convert to fraction form
   1,077,210/1,638,201 = 1,638,201/x
3. Step 3: Cross multiply
   1,077,210x = 1,638,201 × 1,638,201
4. Step 4: Simplify right side
   1,077,210x = 2,683,702,516,401
5. Step 5: Solve for x
   x = 2,683,702,516,401/1,077,210
6. Step 6: Final answer
   x = 2,491,345.71