Finding the Third Proportional to 50,982 and 110,164

Step by Step Solution

1. Step 1: Write the proportion equation
   50,982 : 110,164 = 110,164 : x
2. Step 2: Convert to fraction form
   50,982/110,164 = 110,164/x
3. Step 3: Cross multiply
   50,982x = 110,164 × 110,164
4. Step 4: Simplify right side
   50,982x = 12,136,106,896
5. Step 5: Solve for x
   x = 12,136,106,896/50,982
6. Step 6: Final answer
   x = 238,046.90