Finding the Third Proportional to 109,192 and 231,560

Step by Step Solution

1. Step 1: Write the proportion equation
   109,192 : 231,560 = 231,560 : x
2. Step 2: Convert to fraction form
   109,192/231,560 = 231,560/x
3. Step 3: Cross multiply
   109,192x = 231,560 × 231,560
4. Step 4: Simplify right side
   109,192x = 53,620,033,600
5. Step 5: Solve for x
   x = 53,620,033,600/109,192
6. Step 6: Final answer
   x = 491,061.92