Finding the Third Proportional to 50,546 and 109,453

Step by Step Solution

1. Step 1: Write the proportion equation
   50,546 : 109,453 = 109,453 : x
2. Step 2: Convert to fraction form
   50,546/109,453 = 109,453/x
3. Step 3: Cross multiply
   50,546x = 109,453 × 109,453
4. Step 4: Simplify right side
   50,546x = 11,979,959,209
5. Step 5: Solve for x
   x = 11,979,959,209/50,546
6. Step 6: Final answer
   x = 237,011.02