Finding the Third Proportional to 50,596 and 118,210

Step by Step Solution

1. Step 1: Write the proportion equation
   50,596 : 118,210 = 118,210 : x
2. Step 2: Convert to fraction form
   50,596/118,210 = 118,210/x
3. Step 3: Cross multiply
   50,596x = 118,210 × 118,210
4. Step 4: Simplify right side
   50,596x = 13,973,604,100
5. Step 5: Solve for x
   x = 13,973,604,100/50,596
6. Step 6: Final answer
   x = 276,180.02