Finding the Third Proportional to 689,564 and 1,462,063

Step by Step Solution

1. Step 1: Write the proportion equation
   689,564 : 1,462,063 = 1,462,063 : x
2. Step 2: Convert to fraction form
   689,564/1,462,063 = 1,462,063/x
3. Step 3: Cross multiply
   689,564x = 1,462,063 × 1,462,063
4. Step 4: Simplify right side
   689,564x = 2,137,628,215,969
5. Step 5: Solve for x
   x = 2,137,628,215,969/689,564
6. Step 6: Final answer
   x = 3,099,970.73