Finding the Third Proportional to 113,724 and 172,152

Step by Step Solution

1. Step 1: Write the proportion equation
   113,724 : 172,152 = 172,152 : x
2. Step 2: Convert to fraction form
   113,724/172,152 = 172,152/x
3. Step 3: Cross multiply
   113,724x = 172,152 × 172,152
4. Step 4: Simplify right side
   113,724x = 29,636,311,104
5. Step 5: Solve for x
   x = 29,636,311,104/113,724
6. Step 6: Final answer
   x = 260,598.56