Finding the Third Proportional to 65,258 and 140,884

Step by Step Solution

1. Step 1: Write the proportion equation
   65,258 : 140,884 = 140,884 : x
2. Step 2: Convert to fraction form
   65,258/140,884 = 140,884/x
3. Step 3: Cross multiply
   65,258x = 140,884 × 140,884
4. Step 4: Simplify right side
   65,258x = 19,848,301,456
5. Step 5: Solve for x
   x = 19,848,301,456/65,258
6. Step 6: Final answer
   x = 304,151.24