Finding the Third Proportional to 319,521 and 501,223.50

Step by Step Solution

1. Step 1: Write the proportion equation
   319,521 : 501,223.50 = 501,223.50 : x
2. Step 2: Convert to fraction form
   319,521/501,223.50 = 501,223.50/x
3. Step 3: Cross multiply
   319,521x = 501,223.50 × 501,223.50
4. Step 4: Simplify right side
   319,521x = 251,224,996,952.25
5. Step 5: Solve for x
   x = 251,224,996,952.25/319,521
6. Step 6: Final answer
   x = 786,255.04