Finding the Third Proportional to 1,294,909 and 2,641,225

Step by Step Solution

1. Step 1: Write the proportion equation
   1,294,909 : 2,641,225 = 2,641,225 : x
2. Step 2: Convert to fraction form
   1,294,909/2,641,225 = 2,641,225/x
3. Step 3: Cross multiply
   1,294,909x = 2,641,225 × 2,641,225
4. Step 4: Simplify right side
   1,294,909x = 6,976,069,500,625
5. Step 5: Solve for x
   x = 6,976,069,500,625/1,294,909
6. Step 6: Final answer
   x = 5,387,304.82