Finding the Third Proportional to 1,166,678 and 1,569,225

Step by Step Solution

1. Step 1: Write the proportion equation
   1,166,678 : 1,569,225 = 1,569,225 : x
2. Step 2: Convert to fraction form
   1,166,678/1,569,225 = 1,569,225/x
3. Step 3: Cross multiply
   1,166,678x = 1,569,225 × 1,569,225
4. Step 4: Simplify right side
   1,166,678x = 2,462,467,100,625
5. Step 5: Solve for x
   x = 2,462,467,100,625/1,166,678
6. Step 6: Final answer
   x = 2,110,665.58