Finding the Third Proportional to 65,908 and 142,184

Step by Step Solution

1. Step 1: Write the proportion equation
   65,908 : 142,184 = 142,184 : x
2. Step 2: Convert to fraction form
   65,908/142,184 = 142,184/x
3. Step 3: Cross multiply
   65,908x = 142,184 × 142,184
4. Step 4: Simplify right side
   65,908x = 20,216,289,856
5. Step 5: Solve for x
   x = 20,216,289,856/65,908
6. Step 6: Final answer
   x = 306,734.99