Finding the Third Proportional to 319,373 and 501,003

Step by Step Solution

1. Step 1: Write the proportion equation
   319,373 : 501,003 = 501,003 : x
2. Step 2: Convert to fraction form
   319,373/501,003 = 501,003/x
3. Step 3: Cross multiply
   319,373x = 501,003 × 501,003
4. Step 4: Simplify right side
   319,373x = 251,004,006,009
5. Step 5: Solve for x
   x = 251,004,006,009/319,373
6. Step 6: Final answer
   x = 785,927.45