Finding the Third Proportional to 105,645 and 230,244

Step by Step Solution

1. Step 1: Write the proportion equation
   105,645 : 230,244 = 230,244 : x
2. Step 2: Convert to fraction form
   105,645/230,244 = 230,244/x
3. Step 3: Cross multiply
   105,645x = 230,244 × 230,244
4. Step 4: Simplify right side
   105,645x = 53,012,299,536
5. Step 5: Solve for x
   x = 53,012,299,536/105,645
6. Step 6: Final answer
   x = 501,796.58