Finding the Third Proportional to 677,194 and 1,410,436

Step by Step Solution

1. Step 1: Write the proportion equation
   677,194 : 1,410,436 = 1,410,436 : x
2. Step 2: Convert to fraction form
   677,194/1,410,436 = 1,410,436/x
3. Step 3: Cross multiply
   677,194x = 1,410,436 × 1,410,436
4. Step 4: Simplify right side
   677,194x = 1,989,329,710,096
5. Step 5: Solve for x
   x = 1,989,329,710,096/677,194
6. Step 6: Final answer
   x = 2,937,606.82