Finding the Third Proportional to 2,085,314 and 4,569,208

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085,314 : 4,569,208 = 4,569,208 : x
2. Step 2: Convert to fraction form
   2,085,314/4,569,208 = 4,569,208/x
3. Step 3: Cross multiply
   2,085,314x = 4,569,208 × 4,569,208
4. Step 4: Simplify right side
   2,085,314x = 20,877,661,747,264
5. Step 5: Solve for x
   x = 20,877,661,747,264/2,085,314
6. Step 6: Final answer
   x = 10,011,759.26