Finding the Third Proportional to 65,770 and 142,050

Step by Step Solution

1. Step 1: Write the proportion equation
   65,770 : 142,050 = 142,050 : x
2. Step 2: Convert to fraction form
   65,770/142,050 = 142,050/x
3. Step 3: Cross multiply
   65,770x = 142,050 × 142,050
4. Step 4: Simplify right side
   65,770x = 20,178,202,500
5. Step 5: Solve for x
   x = 20,178,202,500/65,770
6. Step 6: Final answer
   x = 306,799.49