Finding the Third Proportional to 314,658 and 681,786

Step by Step Solution

1. Step 1: Write the proportion equation
   314,658 : 681,786 = 681,786 : x
2. Step 2: Convert to fraction form
   314,658/681,786 = 681,786/x
3. Step 3: Cross multiply
   314,658x = 681,786 × 681,786
4. Step 4: Simplify right side
   314,658x = 464,832,149,796
5. Step 5: Solve for x
   x = 464,832,149,796/314,658
6. Step 6: Final answer
   x = 1,477,261.50