Finding the Third Proportional to 50,209 and 109,168

Step by Step Solution

1. Step 1: Write the proportion equation
   50,209 : 109,168 = 109,168 : x
2. Step 2: Convert to fraction form
   50,209/109,168 = 109,168/x
3. Step 3: Cross multiply
   50,209x = 109,168 × 109,168
4. Step 4: Simplify right side
   50,209x = 11,917,652,224
5. Step 5: Solve for x
   x = 11,917,652,224/50,209
6. Step 6: Final answer
   x = 237,360.88