Finding the Third Proportional to 774,506 and 1,677,680

Step by Step Solution

1. Step 1: Write the proportion equation
   774,506 : 1,677,680 = 1,677,680 : x
2. Step 2: Convert to fraction form
   774,506/1,677,680 = 1,677,680/x
3. Step 3: Cross multiply
   774,506x = 1,677,680 × 1,677,680
4. Step 4: Simplify right side
   774,506x = 2,814,610,182,400
5. Step 5: Solve for x
   x = 2,814,610,182,400/774,506
6. Step 6: Final answer
   x = 3,634,071.50