Finding the Third Proportional to 113,498.50 and 171,826

Step by Step Solution

1. Step 1: Write the proportion equation
   113,498.50 : 171,826 = 171,826 : x
2. Step 2: Convert to fraction form
   113,498.50/171,826 = 171,826/x
3. Step 3: Cross multiply
   113,498.50x = 171,826 × 171,826
4. Step 4: Simplify right side
   113,498.50x = 29,524,174,276
5. Step 5: Solve for x
   x = 29,524,174,276/113,498.50
6. Step 6: Final answer
   x = 260,128.32