Finding the Third Proportional to 1,366,419 and 1,946,493

Step by Step Solution

1. Step 1: Write the proportion equation
   1,366,419 : 1,946,493 = 1,946,493 : x
2. Step 2: Convert to fraction form
   1,366,419/1,946,493 = 1,946,493/x
3. Step 3: Cross multiply
   1,366,419x = 1,946,493 × 1,946,493
4. Step 4: Simplify right side
   1,366,419x = 3,788,834,999,049
5. Step 5: Solve for x
   x = 3,788,834,999,049/1,366,419
6. Step 6: Final answer
   x = 2,772,820.78