Finding the Third Proportional to 1,177,424 and 1,865,216

Step by Step Solution

1. Step 1: Write the proportion equation
   1,177,424 : 1,865,216 = 1,865,216 : x
2. Step 2: Convert to fraction form
   1,177,424/1,865,216 = 1,865,216/x
3. Step 3: Cross multiply
   1,177,424x = 1,865,216 × 1,865,216
4. Step 4: Simplify right side
   1,177,424x = 3,479,030,726,656
5. Step 5: Solve for x
   x = 3,479,030,726,656/1,177,424
6. Step 6: Final answer
   x = 2,954,781.56