Finding the Third Proportional to 1,177,120 and 1,865,184

Step by Step Solution

1. Step 1: Write the proportion equation
   1,177,120 : 1,865,184 = 1,865,184 : x
2. Step 2: Convert to fraction form
   1,177,120/1,865,184 = 1,865,184/x
3. Step 3: Cross multiply
   1,177,120x = 1,865,184 × 1,865,184
4. Step 4: Simplify right side
   1,177,120x = 3,478,911,353,856
5. Step 5: Solve for x
   x = 3,478,911,353,856/1,177,120
6. Step 6: Final answer
   x = 2,955,443.25