Finding the Third Proportional to 88,504 and 194,504

Step by Step Solution

1. Step 1: Write the proportion equation
   88,504 : 194,504 = 194,504 : x
2. Step 2: Convert to fraction form
   88,504/194,504 = 194,504/x
3. Step 3: Cross multiply
   88,504x = 194,504 × 194,504
4. Step 4: Simplify right side
   88,504x = 37,831,806,016
5. Step 5: Solve for x
   x = 37,831,806,016/88,504
6. Step 6: Final answer
   x = 427,458.71