Finding the Third Proportional to 786,018 and 1,684,095

Step by Step Solution

1. Step 1: Write the proportion equation
   786,018 : 1,684,095 = 1,684,095 : x
2. Step 2: Convert to fraction form
   786,018/1,684,095 = 1,684,095/x
3. Step 3: Cross multiply
   786,018x = 1,684,095 × 1,684,095
4. Step 4: Simplify right side
   786,018x = 2,836,175,969,025
5. Step 5: Solve for x
   x = 2,836,175,969,025/786,018
6. Step 6: Final answer
   x = 3,608,283.74