Finding the Third Proportional to 380,307 and 584,610

Step by Step Solution

1. Step 1: Write the proportion equation
   380,307 : 584,610 = 584,610 : x
2. Step 2: Convert to fraction form
   380,307/584,610 = 584,610/x
3. Step 3: Cross multiply
   380,307x = 584,610 × 584,610
4. Step 4: Simplify right side
   380,307x = 341,768,852,100
5. Step 5: Solve for x
   x = 341,768,852,100/380,307
6. Step 6: Final answer
   x = 898,665.69