Finding the Third Proportional to 382,971.50 and 584,825.50

Step by Step Solution

1. Step 1: Write the proportion equation
   382,971.50 : 584,825.50 = 584,825.50 : x
2. Step 2: Convert to fraction form
   382,971.50/584,825.50 = 584,825.50/x
3. Step 3: Cross multiply
   382,971.50x = 584,825.50 × 584,825.50
4. Step 4: Simplify right side
   382,971.50x = 342,020,865,450.25
5. Step 5: Solve for x
   x = 342,020,865,450.25/382,971.50
6. Step 6: Final answer
   x = 893,071.33