Finding the Third Proportional to 98,500 and 215,874

Step by Step Solution

1. Step 1: Write the proportion equation
   98,500 : 215,874 = 215,874 : x
2. Step 2: Convert to fraction form
   98,500/215,874 = 215,874/x
3. Step 3: Cross multiply
   98,500x = 215,874 × 215,874
4. Step 4: Simplify right side
   98,500x = 46,601,583,876
5. Step 5: Solve for x
   x = 46,601,583,876/98,500
6. Step 6: Final answer
   x = 473,112.53