Finding the Third Proportional to 88,256 and 194,944

Step by Step Solution

1. Step 1: Write the proportion equation
   88,256 : 194,944 = 194,944 : x
2. Step 2: Convert to fraction form
   88,256/194,944 = 194,944/x
3. Step 3: Cross multiply
   88,256x = 194,944 × 194,944
4. Step 4: Simplify right side
   88,256x = 38,003,163,136
5. Step 5: Solve for x
   x = 38,003,163,136/88,256
6. Step 6: Final answer
   x = 430,601.47