Finding the Third Proportional to 1,009,564 and 2,159,202

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009,564 : 2,159,202 = 2,159,202 : x
2. Step 2: Convert to fraction form
   1,009,564/2,159,202 = 2,159,202/x
3. Step 3: Cross multiply
   1,009,564x = 2,159,202 × 2,159,202
4. Step 4: Simplify right side
   1,009,564x = 4,662,153,276,804
5. Step 5: Solve for x
   x = 4,662,153,276,804/1,009,564
6. Step 6: Final answer
   x = 4,617,986.85