Finding the Third Proportional to 319,384 and 501,016

Step by Step Solution

1. Step 1: Write the proportion equation
   319,384 : 501,016 = 501,016 : x
2. Step 2: Convert to fraction form
   319,384/501,016 = 501,016/x
3. Step 3: Cross multiply
   319,384x = 501,016 × 501,016
4. Step 4: Simplify right side
   319,384x = 251,017,032,256
5. Step 5: Solve for x
   x = 251,017,032,256/319,384
6. Step 6: Final answer
   x = 785,941.16