Finding the Third Proportional to 113,404 and 170,983.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,404 : 170,983.50 = 170,983.50 : x
2. Step 2: Convert to fraction form
   113,404/170,983.50 = 170,983.50/x
3. Step 3: Cross multiply
   113,404x = 170,983.50 × 170,983.50
4. Step 4: Simplify right side
   113,404x = 29,235,357,272.25
5. Step 5: Solve for x
   x = 29,235,357,272.25/113,404
6. Step 6: Final answer
   x = 257,798.29