Finding the Third Proportional to 30,086 and 65,194

Step by Step Solution

1. Step 1: Write the proportion equation
   30,086 : 65,194 = 65,194 : x
2. Step 2: Convert to fraction form
   30,086/65,194 = 65,194/x
3. Step 3: Cross multiply
   30,086x = 65,194 × 65,194
4. Step 4: Simplify right side
   30,086x = 4,250,257,636
5. Step 5: Solve for x
   x = 4,250,257,636/30,086
6. Step 6: Final answer
   x = 141,270.28