Finding the Third Proportional to 98,621 and 215,656

Step by Step Solution

1. Step 1: Write the proportion equation
   98,621 : 215,656 = 215,656 : x
2. Step 2: Convert to fraction form
   98,621/215,656 = 215,656/x
3. Step 3: Cross multiply
   98,621x = 215,656 × 215,656
4. Step 4: Simplify right side
   98,621x = 46,507,510,336
5. Step 5: Solve for x
   x = 46,507,510,336/98,621
6. Step 6: Final answer
   x = 471,578.17