Finding the Third Proportional to 124,969 and 178,105

Step by Step Solution

1. Step 1: Write the proportion equation
   124,969 : 178,105 = 178,105 : x
2. Step 2: Convert to fraction form
   124,969/178,105 = 178,105/x
3. Step 3: Cross multiply
   124,969x = 178,105 × 178,105
4. Step 4: Simplify right side
   124,969x = 31,721,391,025
5. Step 5: Solve for x
   x = 31,721,391,025/124,969
6. Step 6: Final answer
   x = 253,834.08