Finding the Third Proportional to 509,390,856,934 and 1,090,339,024,168

Step by Step Solution

1. Step 1: Write the proportion equation
   509,390,856,934 : 1,090,339,024,168 = 1,090,339,024,168 : x
2. Step 2: Convert to fraction form
   509,390,856,934/1,090,339,024,168 = 1,090,339,024,168/x
3. Step 3: Cross multiply
   509,390,856,934x = 1,090,339,024,168 × 1,090,339,024,168
4. Step 4: Simplify right side
   509,390,856,934x = 1,188,839,187,623,626,496,016,384
5. Step 5: Solve for x
   x = 1,188,839,187,623,626,496,016,384/509,390,856,934
6. Step 6: Final answer
   x = 2,333,844,770,554.37