Finding the Third Proportional to 109,212 and 231,438

Step by Step Solution

1. Step 1: Write the proportion equation
   109,212 : 231,438 = 231,438 : x
2. Step 2: Convert to fraction form
   109,212/231,438 = 231,438/x
3. Step 3: Cross multiply
   109,212x = 231,438 × 231,438
4. Step 4: Simplify right side
   109,212x = 53,563,547,844
5. Step 5: Solve for x
   x = 53,563,547,844/109,212
6. Step 6: Final answer
   x = 490,454.78