Finding the Third Proportional to 47,419 and 109,778

Step by Step Solution

1. Step 1: Write the proportion equation
   47,419 : 109,778 = 109,778 : x
2. Step 2: Convert to fraction form
   47,419/109,778 = 109,778/x
3. Step 3: Cross multiply
   47,419x = 109,778 × 109,778
4. Step 4: Simplify right side
   47,419x = 12,051,209,284
5. Step 5: Solve for x
   x = 12,051,209,284/47,419
6. Step 6: Final answer
   x = 254,143.05