Finding the Third Proportional to 774,494 and 1,677,658

Step by Step Solution

1. Step 1: Write the proportion equation
   774,494 : 1,677,658 = 1,677,658 : x
2. Step 2: Convert to fraction form
   774,494/1,677,658 = 1,677,658/x
3. Step 3: Cross multiply
   774,494x = 1,677,658 × 1,677,658
4. Step 4: Simplify right side
   774,494x = 2,814,536,364,964
5. Step 5: Solve for x
   x = 2,814,536,364,964/774,494
6. Step 6: Final answer
   x = 3,634,032.50