Finding the Third Proportional to 689,574 and 1,462,086

Step by Step Solution

1. Step 1: Write the proportion equation
   689,574 : 1,462,086 = 1,462,086 : x
2. Step 2: Convert to fraction form
   689,574/1,462,086 = 1,462,086/x
3. Step 3: Cross multiply
   689,574x = 1,462,086 × 1,462,086
4. Step 4: Simplify right side
   689,574x = 2,137,695,471,396
5. Step 5: Solve for x
   x = 2,137,695,471,396/689,574
6. Step 6: Final answer
   x = 3,100,023.31