Finding the Third Proportional to 106,814 and 231,160

Step by Step Solution

1. Step 1: Write the proportion equation
   106,814 : 231,160 = 231,160 : x
2. Step 2: Convert to fraction form
   106,814/231,160 = 231,160/x
3. Step 3: Cross multiply
   106,814x = 231,160 × 231,160
4. Step 4: Simplify right side
   106,814x = 53,434,945,600
5. Step 5: Solve for x
   x = 53,434,945,600/106,814
6. Step 6: Final answer
   x = 500,261.63