Finding the Third Proportional to 102,024 and 146,105

Step by Step Solution

1. Step 1: Write the proportion equation
   102,024 : 146,105 = 146,105 : x
2. Step 2: Convert to fraction form
   102,024/146,105 = 146,105/x
3. Step 3: Cross multiply
   102,024x = 146,105 × 146,105
4. Step 4: Simplify right side
   102,024x = 21,346,671,025
5. Step 5: Solve for x
   x = 21,346,671,025/102,024
6. Step 6: Final answer
   x = 209,231.86