Finding the Third Proportional to 1,092,965,184 and 1,678,914,216

Step by Step Solution

1. Step 1: Write the proportion equation
   1,092,965,184 : 1,678,914,216 = 1,678,914,216 : x
2. Step 2: Convert to fraction form
   1,092,965,184/1,678,914,216 = 1,678,914,216/x
3. Step 3: Cross multiply
   1,092,965,184x = 1,678,914,216 × 1,678,914,216
4. Step 4: Simplify right side
   1,092,965,184x = 2,818,752,944,686,894,592
5. Step 5: Solve for x
   x = 2,818,752,944,686,894,592/1,092,965,184
6. Step 6: Final answer
   x = 2,578,996,097.91