Finding the Third Proportional to 113,688 and 172,118

Step by Step Solution

1. Step 1: Write the proportion equation
   113,688 : 172,118 = 172,118 : x
2. Step 2: Convert to fraction form
   113,688/172,118 = 172,118/x
3. Step 3: Cross multiply
   113,688x = 172,118 × 172,118
4. Step 4: Simplify right side
   113,688x = 29,624,605,924
5. Step 5: Solve for x
   x = 29,624,605,924/113,688
6. Step 6: Final answer
   x = 260,578.13