Finding the Third Proportional to 123,858 and 172,338.75

Step by Step Solution

1. Step 1: Write the proportion equation
   123,858 : 172,338.75 = 172,338.75 : x
2. Step 2: Convert to fraction form
   123,858/172,338.75 = 172,338.75/x
3. Step 3: Cross multiply
   123,858x = 172,338.75 × 172,338.75
4. Step 4: Simplify right side
   123,858x = 29,700,644,751.56
5. Step 5: Solve for x
   x = 29,700,644,751.56/123,858
6. Step 6: Final answer
   x = 239,795.93