Finding the Third Proportional to 30,078 and 65,178

Step by Step Solution

1. Step 1: Write the proportion equation
   30,078 : 65,178 = 65,178 : x
2. Step 2: Convert to fraction form
   30,078/65,178 = 65,178/x
3. Step 3: Cross multiply
   30,078x = 65,178 × 65,178
4. Step 4: Simplify right side
   30,078x = 4,248,171,684
5. Step 5: Solve for x
   x = 4,248,171,684/30,078
6. Step 6: Final answer
   x = 141,238.50