Finding the Third Proportional to 105,700 and 231,084

Step by Step Solution

1. Step 1: Write the proportion equation
   105,700 : 231,084 = 231,084 : x
2. Step 2: Convert to fraction form
   105,700/231,084 = 231,084/x
3. Step 3: Cross multiply
   105,700x = 231,084 × 231,084
4. Step 4: Simplify right side
   105,700x = 53,399,815,056
5. Step 5: Solve for x
   x = 53,399,815,056/105,700
6. Step 6: Final answer
   x = 505,201.66