Finding the Third Proportional to 382,969 and 584,821.50

Step by Step Solution

1. Step 1: Write the proportion equation
   382,969 : 584,821.50 = 584,821.50 : x
2. Step 2: Convert to fraction form
   382,969/584,821.50 = 584,821.50/x
3. Step 3: Cross multiply
   382,969x = 584,821.50 × 584,821.50
4. Step 4: Simplify right side
   382,969x = 342,016,186,862.25
5. Step 5: Solve for x
   x = 342,016,186,862.25/382,969
6. Step 6: Final answer
   x = 893,064.94