Finding the Third Proportional to 113,816 and 172,288

Step by Step Solution

1. Step 1: Write the proportion equation
   113,816 : 172,288 = 172,288 : x
2. Step 2: Convert to fraction form
   113,816/172,288 = 172,288/x
3. Step 3: Cross multiply
   113,816x = 172,288 × 172,288
4. Step 4: Simplify right side
   113,816x = 29,683,154,944
5. Step 5: Solve for x
   x = 29,683,154,944/113,816
6. Step 6: Final answer
   x = 260,799.49