Finding the Third Proportional to 65,780 and 142,070

Step by Step Solution

1. Step 1: Write the proportion equation
   65,780 : 142,070 = 142,070 : x
2. Step 2: Convert to fraction form
   65,780/142,070 = 142,070/x
3. Step 3: Cross multiply
   65,780x = 142,070 × 142,070
4. Step 4: Simplify right side
   65,780x = 20,183,884,900
5. Step 5: Solve for x
   x = 20,183,884,900/65,780
6. Step 6: Final answer
   x = 306,839.24