Finding the Third Proportional to 2,506,784 and 5,146,288

Step by Step Solution

1. Step 1: Write the proportion equation
   2,506,784 : 5,146,288 = 5,146,288 : x
2. Step 2: Convert to fraction form
   2,506,784/5,146,288 = 5,146,288/x
3. Step 3: Cross multiply
   2,506,784x = 5,146,288 × 5,146,288
4. Step 4: Simplify right side
   2,506,784x = 26,484,280,178,944
5. Step 5: Solve for x
   x = 26,484,280,178,944/2,506,784
6. Step 6: Final answer
   x = 10,565,042.77