Finding the Third Proportional to 462,826 and 739,074

Step by Step Solution

1. Step 1: Write the proportion equation
   462,826 : 739,074 = 739,074 : x
2. Step 2: Convert to fraction form
   462,826/739,074 = 739,074/x
3. Step 3: Cross multiply
   462,826x = 739,074 × 739,074
4. Step 4: Simplify right side
   462,826x = 546,230,377,476
5. Step 5: Solve for x
   x = 546,230,377,476/462,826
6. Step 6: Final answer
   x = 1,180,206.77