Finding the Third Proportional to 47,754 and 102,078

Step by Step Solution

1. Step 1: Write the proportion equation
   47,754 : 102,078 = 102,078 : x
2. Step 2: Convert to fraction form
   47,754/102,078 = 102,078/x
3. Step 3: Cross multiply
   47,754x = 102,078 × 102,078
4. Step 4: Simplify right side
   47,754x = 10,419,918,084
5. Step 5: Solve for x
   x = 10,419,918,084/47,754
6. Step 6: Final answer
   x = 218,199.90