Finding the Third Proportional to 509,390,857,056 and 1,090,339,024,416

Step by Step Solution

1. Step 1: Write the proportion equation
   509,390,857,056 : 1,090,339,024,416 = 1,090,339,024,416 : x
2. Step 2: Convert to fraction form
   509,390,857,056/1,090,339,024,416 = 1,090,339,024,416/x
3. Step 3: Cross multiply
   509,390,857,056x = 1,090,339,024,416 × 1,090,339,024,416
4. Step 4: Simplify right side
   509,390,857,056x = 1,188,839,188,164,434,685,067,264
5. Step 5: Solve for x
   x = 1,188,839,188,164,434,685,067,264/509,390,857,056
6. Step 6: Final answer
   x = 2,333,844,771,057.09