Finding the Third Proportional to 98,293 and 209,454

Step by Step Solution

1. Step 1: Write the proportion equation
   98,293 : 209,454 = 209,454 : x
2. Step 2: Convert to fraction form
   98,293/209,454 = 209,454/x
3. Step 3: Cross multiply
   98,293x = 209,454 × 209,454
4. Step 4: Simplify right side
   98,293x = 43,870,978,116
5. Step 5: Solve for x
   x = 43,870,978,116/98,293
6. Step 6: Final answer
   x = 446,328.61