Finding the Third Proportional to 113,832 and 164,454

Step by Step Solution

1. Step 1: Write the proportion equation
   113,832 : 164,454 = 164,454 : x
2. Step 2: Convert to fraction form
   113,832/164,454 = 164,454/x
3. Step 3: Cross multiply
   113,832x = 164,454 × 164,454
4. Step 4: Simplify right side
   113,832x = 27,045,118,116
5. Step 5: Solve for x
   x = 27,045,118,116/113,832
6. Step 6: Final answer
   x = 237,588.01