Finding the Third Proportional to 2,197,584 and 4,563,594

Step by Step Solution

1. Step 1: Write the proportion equation
   2,197,584 : 4,563,594 = 4,563,594 : x
2. Step 2: Convert to fraction form
   2,197,584/4,563,594 = 4,563,594/x
3. Step 3: Cross multiply
   2,197,584x = 4,563,594 × 4,563,594
4. Step 4: Simplify right side
   2,197,584x = 20,826,390,196,836
5. Step 5: Solve for x
   x = 20,826,390,196,836/2,197,584
6. Step 6: Final answer
   x = 9,476,948.41