Finding the Third Proportional to 88,642 and 194,504

Step by Step Solution

1. Step 1: Write the proportion equation
   88,642 : 194,504 = 194,504 : x
2. Step 2: Convert to fraction form
   88,642/194,504 = 194,504/x
3. Step 3: Cross multiply
   88,642x = 194,504 × 194,504
4. Step 4: Simplify right side
   88,642x = 37,831,806,016
5. Step 5: Solve for x
   x = 37,831,806,016/88,642
6. Step 6: Final answer
   x = 426,793.24