Finding the Third Proportional to 398,088 and 585,384

Step by Step Solution

1. Step 1: Write the proportion equation
   398,088 : 585,384 = 585,384 : x
2. Step 2: Convert to fraction form
   398,088/585,384 = 585,384/x
3. Step 3: Cross multiply
   398,088x = 585,384 × 585,384
4. Step 4: Simplify right side
   398,088x = 342,674,427,456
5. Step 5: Solve for x
   x = 342,674,427,456/398,088
6. Step 6: Final answer
   x = 860,800.70