Finding the Third Proportional to 52,078 and 107,846

Step by Step Solution

1. Step 1: Write the proportion equation
   52,078 : 107,846 = 107,846 : x
2. Step 2: Convert to fraction form
   52,078/107,846 = 107,846/x
3. Step 3: Cross multiply
   52,078x = 107,846 × 107,846
4. Step 4: Simplify right side
   52,078x = 11,630,759,716
5. Step 5: Solve for x
   x = 11,630,759,716/52,078
6. Step 6: Final answer
   x = 223,333.46