Finding the Third Proportional to 52,812 and 109,977

Step by Step Solution

1. Step 1: Write the proportion equation
   52,812 : 109,977 = 109,977 : x
2. Step 2: Convert to fraction form
   52,812/109,977 = 109,977/x
3. Step 3: Cross multiply
   52,812x = 109,977 × 109,977
4. Step 4: Simplify right side
   52,812x = 12,094,940,529
5. Step 5: Solve for x
   x = 12,094,940,529/52,812
6. Step 6: Final answer
   x = 229,018.79