Finding the Third Proportional to 314,784 and 491,004

Step by Step Solution

1. Step 1: Write the proportion equation
   314,784 : 491,004 = 491,004 : x
2. Step 2: Convert to fraction form
   314,784/491,004 = 491,004/x
3. Step 3: Cross multiply
   314,784x = 491,004 × 491,004
4. Step 4: Simplify right side
   314,784x = 241,084,928,016
5. Step 5: Solve for x
   x = 241,084,928,016/314,784
6. Step 6: Final answer
   x = 765,874.15