Finding the Third Proportional to 98,194 and 215,504

Step by Step Solution

1. Step 1: Write the proportion equation
   98,194 : 215,504 = 215,504 : x
2. Step 2: Convert to fraction form
   98,194/215,504 = 215,504/x
3. Step 3: Cross multiply
   98,194x = 215,504 × 215,504
4. Step 4: Simplify right side
   98,194x = 46,441,974,016
5. Step 5: Solve for x
   x = 46,441,974,016/98,194
6. Step 6: Final answer
   x = 472,961.42