Finding the Third Proportional to 340,978.50 and 504,859.50

Step by Step Solution

1. Step 1: Write the proportion equation
   340,978.50 : 504,859.50 = 504,859.50 : x
2. Step 2: Convert to fraction form
   340,978.50/504,859.50 = 504,859.50/x
3. Step 3: Cross multiply
   340,978.50x = 504,859.50 × 504,859.50
4. Step 4: Simplify right side
   340,978.50x = 254,883,114,740.25
5. Step 5: Solve for x
   x = 254,883,114,740.25/340,978.50
6. Step 6: Final answer
   x = 747,504.94