Finding the Third Proportional to 50,209 and 108,194

Step by Step Solution

1. Step 1: Write the proportion equation
   50,209 : 108,194 = 108,194 : x
2. Step 2: Convert to fraction form
   50,209/108,194 = 108,194/x
3. Step 3: Cross multiply
   50,209x = 108,194 × 108,194
4. Step 4: Simplify right side
   50,209x = 11,705,941,636
5. Step 5: Solve for x
   x = 11,705,941,636/50,209
6. Step 6: Final answer
   x = 233,144.29