Finding the Third Proportional to 106,264 and 231,221

Step by Step Solution

1. Step 1: Write the proportion equation
   106,264 : 231,221 = 231,221 : x
2. Step 2: Convert to fraction form
   106,264/231,221 = 231,221/x
3. Step 3: Cross multiply
   106,264x = 231,221 × 231,221
4. Step 4: Simplify right side
   106,264x = 53,463,150,841
5. Step 5: Solve for x
   x = 53,463,150,841/106,264
6. Step 6: Final answer
   x = 503,116.30