Finding the Third Proportional to 2,394,309,814 and 5,594,188,085

Step by Step Solution

1. Step 1: Write the proportion equation
   2,394,309,814 : 5,594,188,085 = 5,594,188,085 : x
2. Step 2: Convert to fraction form
   2,394,309,814/5,594,188,085 = 5,594,188,085/x
3. Step 3: Cross multiply
   2,394,309,814x = 5,594,188,085 × 5,594,188,085
4. Step 4: Simplify right side
   2,394,309,814x = 31,294,940,330,355,965,952
5. Step 5: Solve for x
   x = 31,294,940,330,355,965,952/2,394,309,814
6. Step 6: Final answer
   x = 13,070,547,573.82