Finding the Third Proportional to 50,264 and 109,272

Step by Step Solution

1. Step 1: Write the proportion equation
   50,264 : 109,272 = 109,272 : x
2. Step 2: Convert to fraction form
   50,264/109,272 = 109,272/x
3. Step 3: Cross multiply
   50,264x = 109,272 × 109,272
4. Step 4: Simplify right side
   50,264x = 11,940,369,984
5. Step 5: Solve for x
   x = 11,940,369,984/50,264
6. Step 6: Final answer
   x = 237,553.12