Finding the Third Proportional to 109,664 and 239,158

Step by Step Solution

1. Step 1: Write the proportion equation
   109,664 : 239,158 = 239,158 : x
2. Step 2: Convert to fraction form
   109,664/239,158 = 239,158/x
3. Step 3: Cross multiply
   109,664x = 239,158 × 239,158
4. Step 4: Simplify right side
   109,664x = 57,196,548,964
5. Step 5: Solve for x
   x = 57,196,548,964/109,664
6. Step 6: Final answer
   x = 521,561.76