Finding the Third Proportional to 774,920 and 1,046,658

Step by Step Solution

1. Step 1: Write the proportion equation
   774,920 : 1,046,658 = 1,046,658 : x
2. Step 2: Convert to fraction form
   774,920/1,046,658 = 1,046,658/x
3. Step 3: Cross multiply
   774,920x = 1,046,658 × 1,046,658
4. Step 4: Simplify right side
   774,920x = 1,095,492,968,964
5. Step 5: Solve for x
   x = 1,095,492,968,964/774,920
6. Step 6: Final answer
   x = 1,413,685.24