Finding the Third Proportional to 1,266,516 and 2,584,692

Step by Step Solution

1. Step 1: Write the proportion equation
   1,266,516 : 2,584,692 = 2,584,692 : x
2. Step 2: Convert to fraction form
   1,266,516/2,584,692 = 2,584,692/x
3. Step 3: Cross multiply
   1,266,516x = 2,584,692 × 2,584,692
4. Step 4: Simplify right side
   1,266,516x = 6,680,632,734,864
5. Step 5: Solve for x
   x = 6,680,632,734,864/1,266,516
6. Step 6: Final answer
   x = 5,274,811.16