Finding the Third Proportional to 113,643 and 170,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,643 : 170,464.50 = 170,464.50 : x
2. Step 2: Convert to fraction form
   113,643/170,464.50 = 170,464.50/x
3. Step 3: Cross multiply
   113,643x = 170,464.50 × 170,464.50
4. Step 4: Simplify right side
   113,643x = 29,058,145,760.25
5. Step 5: Solve for x
   x = 29,058,145,760.25/113,643
6. Step 6: Final answer
   x = 255,696.75