Finding the Third Proportional to 1,457,648 and 2,038,296

Step by Step Solution

1. Step 1: Write the proportion equation
   1,457,648 : 2,038,296 = 2,038,296 : x
2. Step 2: Convert to fraction form
   1,457,648/2,038,296 = 2,038,296/x
3. Step 3: Cross multiply
   1,457,648x = 2,038,296 × 2,038,296
4. Step 4: Simplify right side
   1,457,648x = 4,154,650,583,616
5. Step 5: Solve for x
   x = 4,154,650,583,616/1,457,648
6. Step 6: Final answer
   x = 2,850,242.71