Finding the Third Proportional to 65,949 and 102,270

Step by Step Solution

1. Step 1: Write the proportion equation
   65,949 : 102,270 = 102,270 : x
2. Step 2: Convert to fraction form
   65,949/102,270 = 102,270/x
3. Step 3: Cross multiply
   65,949x = 102,270 × 102,270
4. Step 4: Simplify right side
   65,949x = 10,459,152,900
5. Step 5: Solve for x
   x = 10,459,152,900/65,949
6. Step 6: Final answer
   x = 158,594.56