Finding the Third Proportional to 314,064 and 697,786

Step by Step Solution

1. Step 1: Write the proportion equation
   314,064 : 697,786 = 697,786 : x
2. Step 2: Convert to fraction form
   314,064/697,786 = 697,786/x
3. Step 3: Cross multiply
   314,064x = 697,786 × 697,786
4. Step 4: Simplify right side
   314,064x = 486,905,301,796
5. Step 5: Solve for x
   x = 486,905,301,796/314,064
6. Step 6: Final answer
   x = 1,550,337.83