Finding the Third Proportional to 65,581 and 142,841

Step by Step Solution

1. Step 1: Write the proportion equation
   65,581 : 142,841 = 142,841 : x
2. Step 2: Convert to fraction form
   65,581/142,841 = 142,841/x
3. Step 3: Cross multiply
   65,581x = 142,841 × 142,841
4. Step 4: Simplify right side
   65,581x = 20,403,551,281
5. Step 5: Solve for x
   x = 20,403,551,281/65,581
6. Step 6: Final answer
   x = 311,119.86