Finding the Third Proportional to 109,070 and 231,326

Step by Step Solution

1. Step 1: Write the proportion equation
   109,070 : 231,326 = 231,326 : x
2. Step 2: Convert to fraction form
   109,070/231,326 = 231,326/x
3. Step 3: Cross multiply
   109,070x = 231,326 × 231,326
4. Step 4: Simplify right side
   109,070x = 53,511,718,276
5. Step 5: Solve for x
   x = 53,511,718,276/109,070
6. Step 6: Final answer
   x = 490,618.12