Finding the Third Proportional to 106,265 and 231,223

Step by Step Solution

1. Step 1: Write the proportion equation
   106,265 : 231,223 = 231,223 : x
2. Step 2: Convert to fraction form
   106,265/231,223 = 231,223/x
3. Step 3: Cross multiply
   106,265x = 231,223 × 231,223
4. Step 4: Simplify right side
   106,265x = 53,464,075,729
5. Step 5: Solve for x
   x = 53,464,075,729/106,265
6. Step 6: Final answer
   x = 503,120.27