Finding the Third Proportional to 1,102,196 and 1,686,018

Step by Step Solution

1. Step 1: Write the proportion equation
   1,102,196 : 1,686,018 = 1,686,018 : x
2. Step 2: Convert to fraction form
   1,102,196/1,686,018 = 1,686,018/x
3. Step 3: Cross multiply
   1,102,196x = 1,686,018 × 1,686,018
4. Step 4: Simplify right side
   1,102,196x = 2,842,656,696,324
5. Step 5: Solve for x
   x = 2,842,656,696,324/1,102,196
6. Step 6: Final answer
   x = 2,579,084.57