Finding the Third Proportional to 301,933.50 and 712,824

Step by Step Solution

1. Step 1: Write the proportion equation
   301,933.50 : 712,824 = 712,824 : x
2. Step 2: Convert to fraction form
   301,933.50/712,824 = 712,824/x
3. Step 3: Cross multiply
   301,933.50x = 712,824 × 712,824
4. Step 4: Simplify right side
   301,933.50x = 508,118,054,976
5. Step 5: Solve for x
   x = 508,118,054,976/301,933.50
6. Step 6: Final answer
   x = 1,682,880.68