Finding the Third Proportional to 109,178 and 231,477

Step by Step Solution

1. Step 1: Write the proportion equation
   109,178 : 231,477 = 231,477 : x
2. Step 2: Convert to fraction form
   109,178/231,477 = 231,477/x
3. Step 3: Cross multiply
   109,178x = 231,477 × 231,477
4. Step 4: Simplify right side
   109,178x = 53,581,601,529
5. Step 5: Solve for x
   x = 53,581,601,529/109,178
6. Step 6: Final answer
   x = 490,772.88