Finding the Third Proportional to 826,365 and 1,276,914

Step by Step Solution

1. Step 1: Write the proportion equation
   826,365 : 1,276,914 = 1,276,914 : x
2. Step 2: Convert to fraction form
   826,365/1,276,914 = 1,276,914/x
3. Step 3: Cross multiply
   826,365x = 1,276,914 × 1,276,914
4. Step 4: Simplify right side
   826,365x = 1,630,509,363,396
5. Step 5: Solve for x
   x = 1,630,509,363,396/826,365
6. Step 6: Final answer
   x = 1,973,110.39