Finding the Third Proportional to 50,620 and 117,188

Step by Step Solution

1. Step 1: Write the proportion equation
   50,620 : 117,188 = 117,188 : x
2. Step 2: Convert to fraction form
   50,620/117,188 = 117,188/x
3. Step 3: Cross multiply
   50,620x = 117,188 × 117,188
4. Step 4: Simplify right side
   50,620x = 13,733,027,344
5. Step 5: Solve for x
   x = 13,733,027,344/50,620
6. Step 6: Final answer
   x = 271,296.47