Finding the Third Proportional to 106,022 and 231,460

Step by Step Solution

1. Step 1: Write the proportion equation
   106,022 : 231,460 = 231,460 : x
2. Step 2: Convert to fraction form
   106,022/231,460 = 231,460/x
3. Step 3: Cross multiply
   106,022x = 231,460 × 231,460
4. Step 4: Simplify right side
   106,022x = 53,573,731,600
5. Step 5: Solve for x
   x = 53,573,731,600/106,022
6. Step 6: Final answer
   x = 505,307.69