Finding the Third Proportional to 109,184 and 231,492

Step by Step Solution

1. Step 1: Write the proportion equation
   109,184 : 231,492 = 231,492 : x
2. Step 2: Convert to fraction form
   109,184/231,492 = 231,492/x
3. Step 3: Cross multiply
   109,184x = 231,492 × 231,492
4. Step 4: Simplify right side
   109,184x = 53,588,546,064
5. Step 5: Solve for x
   x = 53,588,546,064/109,184
6. Step 6: Final answer
   x = 490,809.51