Finding the Third Proportional to 319,380 and 501,012

Step by Step Solution

1. Step 1: Write the proportion equation
   319,380 : 501,012 = 501,012 : x
2. Step 2: Convert to fraction form
   319,380/501,012 = 501,012/x
3. Step 3: Cross multiply
   319,380x = 501,012 × 501,012
4. Step 4: Simplify right side
   319,380x = 251,013,024,144
5. Step 5: Solve for x
   x = 251,013,024,144/319,380
6. Step 6: Final answer
   x = 785,938.46