Finding the Third Proportional to 106,113 and 231,180

Step by Step Solution

1. Step 1: Write the proportion equation
   106,113 : 231,180 = 231,180 : x
2. Step 2: Convert to fraction form
   106,113/231,180 = 231,180/x
3. Step 3: Cross multiply
   106,113x = 231,180 × 231,180
4. Step 4: Simplify right side
   106,113x = 53,444,192,400
5. Step 5: Solve for x
   x = 53,444,192,400/106,113
6. Step 6: Final answer
   x = 503,653.58