Finding the Third Proportional to 98,641 and 213,049

Step by Step Solution

1. Step 1: Write the proportion equation
   98,641 : 213,049 = 213,049 : x
2. Step 2: Convert to fraction form
   98,641/213,049 = 213,049/x
3. Step 3: Cross multiply
   98,641x = 213,049 × 213,049
4. Step 4: Simplify right side
   98,641x = 45,389,876,401
5. Step 5: Solve for x
   x = 45,389,876,401/98,641
6. Step 6: Final answer
   x = 460,152.23