Finding the Third Proportional to 2,270,578 and 3,784,139

Step by Step Solution

1. Step 1: Write the proportion equation
   2,270,578 : 3,784,139 = 3,784,139 : x
2. Step 2: Convert to fraction form
   2,270,578/3,784,139 = 3,784,139/x
3. Step 3: Cross multiply
   2,270,578x = 3,784,139 × 3,784,139
4. Step 4: Simplify right side
   2,270,578x = 14,319,707,971,321
5. Step 5: Solve for x
   x = 14,319,707,971,321/2,270,578
6. Step 6: Final answer
   x = 6,306,635.57