Finding the Third Proportional to 65,290 and 142,881

Step by Step Solution

1. Step 1: Write the proportion equation
   65,290 : 142,881 = 142,881 : x
2. Step 2: Convert to fraction form
   65,290/142,881 = 142,881/x
3. Step 3: Cross multiply
   65,290x = 142,881 × 142,881
4. Step 4: Simplify right side
   65,290x = 20,414,980,161
5. Step 5: Solve for x
   x = 20,414,980,161/65,290
6. Step 6: Final answer
   x = 312,681.58