Finding the Third Proportional to 50,258 and 109,264

Step by Step Solution

1. Step 1: Write the proportion equation
   50,258 : 109,264 = 109,264 : x
2. Step 2: Convert to fraction form
   50,258/109,264 = 109,264/x
3. Step 3: Cross multiply
   50,258x = 109,264 × 109,264
4. Step 4: Simplify right side
   50,258x = 11,938,621,696
5. Step 5: Solve for x
   x = 11,938,621,696/50,258
6. Step 6: Final answer
   x = 237,546.69