Finding the Third Proportional to 1,214,364 and 1,782,180

Step by Step Solution

1. Step 1: Write the proportion equation
   1,214,364 : 1,782,180 = 1,782,180 : x
2. Step 2: Convert to fraction form
   1,214,364/1,782,180 = 1,782,180/x
3. Step 3: Cross multiply
   1,214,364x = 1,782,180 × 1,782,180
4. Step 4: Simplify right side
   1,214,364x = 3,176,165,552,400
5. Step 5: Solve for x
   x = 3,176,165,552,400/1,214,364
6. Step 6: Final answer
   x = 2,615,497.13