Finding the Third Proportional to 328,824 and 493,233.75

Step by Step Solution

1. Step 1: Write the proportion equation
   328,824 : 493,233.75 = 493,233.75 : x
2. Step 2: Convert to fraction form
   328,824/493,233.75 = 493,233.75/x
3. Step 3: Cross multiply
   328,824x = 493,233.75 × 493,233.75
4. Step 4: Simplify right side
   328,824x = 243,279,532,139.06
5. Step 5: Solve for x
   x = 243,279,532,139.06/328,824
6. Step 6: Final answer
   x = 739,847.25