Finding the Third Proportional to 319,525 and 501,229.50

Step by Step Solution

1. Step 1: Write the proportion equation
   319,525 : 501,229.50 = 501,229.50 : x
2. Step 2: Convert to fraction form
   319,525/501,229.50 = 501,229.50/x
3. Step 3: Cross multiply
   319,525x = 501,229.50 × 501,229.50
4. Step 4: Simplify right side
   319,525x = 251,231,011,670.25
5. Step 5: Solve for x
   x = 251,231,011,670.25/319,525
6. Step 6: Final answer
   x = 786,264.02