Finding the Third Proportional to 113,665 and 172,077

Step by Step Solution

1. Step 1: Write the proportion equation
   113,665 : 172,077 = 172,077 : x
2. Step 2: Convert to fraction form
   113,665/172,077 = 172,077/x
3. Step 3: Cross multiply
   113,665x = 172,077 × 172,077
4. Step 4: Simplify right side
   113,665x = 29,610,493,929
5. Step 5: Solve for x
   x = 29,610,493,929/113,665
6. Step 6: Final answer
   x = 260,506.70