Finding the Third Proportional to 2,338,785,821 and 5,200,487,306

Step by Step Solution

1. Step 1: Write the proportion equation
   2,338,785,821 : 5,200,487,306 = 5,200,487,306 : x
2. Step 2: Convert to fraction form
   2,338,785,821/5,200,487,306 = 5,200,487,306/x
3. Step 3: Cross multiply
   2,338,785,821x = 5,200,487,306 × 5,200,487,306
4. Step 4: Simplify right side
   2,338,785,821x = 27,045,068,219,867,136,000
5. Step 5: Solve for x
   x = 27,045,068,219,867,136,000/2,338,785,821
6. Step 6: Final answer
   x = 11,563,721,644.38