Finding the Third Proportional to 382,970.50 and 584,824

Step by Step Solution

1. Step 1: Write the proportion equation
   382,970.50 : 584,824 = 584,824 : x
2. Step 2: Convert to fraction form
   382,970.50/584,824 = 584,824/x
3. Step 3: Cross multiply
   382,970.50x = 584,824 × 584,824
4. Step 4: Simplify right side
   382,970.50x = 342,019,110,976
5. Step 5: Solve for x
   x = 342,019,110,976/382,970.50
6. Step 6: Final answer
   x = 893,069.08