Finding the Third Proportional to 30,405 and 65,305.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,405 : 65,305.50 = 65,305.50 : x
2. Step 2: Convert to fraction form
   30,405/65,305.50 = 65,305.50/x
3. Step 3: Cross multiply
   30,405x = 65,305.50 × 65,305.50
4. Step 4: Simplify right side
   30,405x = 4,264,808,330.25
5. Step 5: Solve for x
   x = 4,264,808,330.25/30,405
6. Step 6: Final answer
   x = 140,266.68