Finding the Third Proportional to 319,858.50 and 684,003.50

Step by Step Solution

1. Step 1: Write the proportion equation
   319,858.50 : 684,003.50 = 684,003.50 : x
2. Step 2: Convert to fraction form
   319,858.50/684,003.50 = 684,003.50/x
3. Step 3: Cross multiply
   319,858.50x = 684,003.50 × 684,003.50
4. Step 4: Simplify right side
   319,858.50x = 467,860,788,012.25
5. Step 5: Solve for x
   x = 467,860,788,012.25/319,858.50
6. Step 6: Final answer
   x = 1,462,711.76