Finding the Third Proportional to 1,684,742 and 2,409,196

Step by Step Solution

1. Step 1: Write the proportion equation
   1,684,742 : 2,409,196 = 2,409,196 : x
2. Step 2: Convert to fraction form
   1,684,742/2,409,196 = 2,409,196/x
3. Step 3: Cross multiply
   1,684,742x = 2,409,196 × 2,409,196
4. Step 4: Simplify right side
   1,684,742x = 5,804,225,366,416
5. Step 5: Solve for x
   x = 5,804,225,366,416/1,684,742
6. Step 6: Final answer
   x = 3,445,171.64