Finding the Third Proportional to 113,835 and 171,119.25

Step by Step Solution

1. Step 1: Write the proportion equation
   113,835 : 171,119.25 = 171,119.25 : x
2. Step 2: Convert to fraction form
   113,835/171,119.25 = 171,119.25/x
3. Step 3: Cross multiply
   113,835x = 171,119.25 × 171,119.25
4. Step 4: Simplify right side
   113,835x = 29,281,797,720.56
5. Step 5: Solve for x
   x = 29,281,797,720.56/113,835
6. Step 6: Final answer
   x = 257,230.18