Finding the Third Proportional to 819,864 and 1,762,196

Step by Step Solution

1. Step 1: Write the proportion equation
   819,864 : 1,762,196 = 1,762,196 : x
2. Step 2: Convert to fraction form
   819,864/1,762,196 = 1,762,196/x
3. Step 3: Cross multiply
   819,864x = 1,762,196 × 1,762,196
4. Step 4: Simplify right side
   819,864x = 3,105,334,742,416
5. Step 5: Solve for x
   x = 3,105,334,742,416/819,864
6. Step 6: Final answer
   x = 3,787,621.78