Finding the Third Proportional to 65,965.50 and 102,258

Step by Step Solution

1. Step 1: Write the proportion equation
   65,965.50 : 102,258 = 102,258 : x
2. Step 2: Convert to fraction form
   65,965.50/102,258 = 102,258/x
3. Step 3: Cross multiply
   65,965.50x = 102,258 × 102,258
4. Step 4: Simplify right side
   65,965.50x = 10,456,698,564
5. Step 5: Solve for x
   x = 10,456,698,564/65,965.50
6. Step 6: Final answer
   x = 158,517.69