Finding the Third Proportional to 50,416 and 109,672

Step by Step Solution

1. Step 1: Write the proportion equation
   50,416 : 109,672 = 109,672 : x
2. Step 2: Convert to fraction form
   50,416/109,672 = 109,672/x
3. Step 3: Cross multiply
   50,416x = 109,672 × 109,672
4. Step 4: Simplify right side
   50,416x = 12,027,947,584
5. Step 5: Solve for x
   x = 12,027,947,584/50,416
6. Step 6: Final answer
   x = 238,574.02