Finding the Third Proportional to 105,006.38 and 146,817.56

Step by Step Solution

1. Step 1: Write the proportion equation
   105,006.38 : 146,817.56 = 146,817.56 : x
2. Step 2: Convert to fraction form
   105,006.38/146,817.56 = 146,817.56/x
3. Step 3: Cross multiply
   105,006.38x = 146,817.56 × 146,817.56
4. Step 4: Simplify right side
   105,006.38x = 21,555,396,658.44
5. Step 5: Solve for x
   x = 21,555,396,658.44/105,006.38
6. Step 6: Final answer
   x = 205,277.03