Finding the Third Proportional to 113,670 and 172,084

Step by Step Solution

1. Step 1: Write the proportion equation
   113,670 : 172,084 = 172,084 : x
2. Step 2: Convert to fraction form
   113,670/172,084 = 172,084/x
3. Step 3: Cross multiply
   113,670x = 172,084 × 172,084
4. Step 4: Simplify right side
   113,670x = 29,612,903,056
5. Step 5: Solve for x
   x = 29,612,903,056/113,670
6. Step 6: Final answer
   x = 260,516.43