Finding the Third Proportional to 380,281 and 584,570

Step by Step Solution

1. Step 1: Write the proportion equation
   380,281 : 584,570 = 584,570 : x
2. Step 2: Convert to fraction form
   380,281/584,570 = 584,570/x
3. Step 3: Cross multiply
   380,281x = 584,570 × 584,570
4. Step 4: Simplify right side
   380,281x = 341,722,084,900
5. Step 5: Solve for x
   x = 341,722,084,900/380,281
6. Step 6: Final answer
   x = 898,604.15