Finding the Third Proportional to 98,826 and 217,333

Step by Step Solution

1. Step 1: Write the proportion equation
   98,826 : 217,333 = 217,333 : x
2. Step 2: Convert to fraction form
   98,826/217,333 = 217,333/x
3. Step 3: Cross multiply
   98,826x = 217,333 × 217,333
4. Step 4: Simplify right side
   98,826x = 47,233,632,889
5. Step 5: Solve for x
   x = 47,233,632,889/98,826
6. Step 6: Final answer
   x = 477,947.43