Finding the Third Proportional to 113,733 and 172,165.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,733 : 172,165.50 = 172,165.50 : x
2. Step 2: Convert to fraction form
   113,733/172,165.50 = 172,165.50/x
3. Step 3: Cross multiply
   113,733x = 172,165.50 × 172,165.50
4. Step 4: Simplify right side
   113,733x = 29,640,959,390.25
5. Step 5: Solve for x
   x = 29,640,959,390.25/113,733
6. Step 6: Final answer
   x = 260,618.81