Finding the Third Proportional to 100,005 and 146,059

Step by Step Solution

1. Step 1: Write the proportion equation
   100,005 : 146,059 = 146,059 : x
2. Step 2: Convert to fraction form
   100,005/146,059 = 146,059/x
3. Step 3: Cross multiply
   100,005x = 146,059 × 146,059
4. Step 4: Simplify right side
   100,005x = 21,333,231,481
5. Step 5: Solve for x
   x = 21,333,231,481/100,005
6. Step 6: Final answer
   x = 213,321.65