Finding the Third Proportional to 113,511 and 171,130.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,511 : 171,130.50 = 171,130.50 : x
2. Step 2: Convert to fraction form
   113,511/171,130.50 = 171,130.50/x
3. Step 3: Cross multiply
   113,511x = 171,130.50 × 171,130.50
4. Step 4: Simplify right side
   113,511x = 29,285,648,030.25
5. Step 5: Solve for x
   x = 29,285,648,030.25/113,511
6. Step 6: Final answer
   x = 257,998.33