Finding the Third Proportional to 113,843.81 and 164,469.38

Step by Step Solution

1. Step 1: Write the proportion equation
   113,843.81 : 164,469.38 = 164,469.38 : x
2. Step 2: Convert to fraction form
   113,843.81/164,469.38 = 164,469.38/x
3. Step 3: Cross multiply
   113,843.81x = 164,469.38 × 164,469.38
4. Step 4: Simplify right side
   113,843.81x = 27,050,175,312.89
5. Step 5: Solve for x
   x = 27,050,175,312.89/113,843.81
6. Step 6: Final answer
   x = 237,607.78