Finding the Third Proportional to 98,805 and 213,054

Step by Step Solution

1. Step 1: Write the proportion equation
   98,805 : 213,054 = 213,054 : x
2. Step 2: Convert to fraction form
   98,805/213,054 = 213,054/x
3. Step 3: Cross multiply
   98,805x = 213,054 × 213,054
4. Step 4: Simplify right side
   98,805x = 45,392,006,916
5. Step 5: Solve for x
   x = 45,392,006,916/98,805
6. Step 6: Final answer
   x = 459,410.02