Finding the Third Proportional to 109,197 and 231,516

Step by Step Solution

1. Step 1: Write the proportion equation
   109,197 : 231,516 = 231,516 : x
2. Step 2: Convert to fraction form
   109,197/231,516 = 231,516/x
3. Step 3: Cross multiply
   109,197x = 231,516 × 231,516
4. Step 4: Simplify right side
   109,197x = 53,599,658,256
5. Step 5: Solve for x
   x = 53,599,658,256/109,197
6. Step 6: Final answer
   x = 490,852.85