Finding the Third Proportional to 103,696.50 and 164,884.69

Step by Step Solution

1. Step 1: Write the proportion equation
   103,696.50 : 164,884.69 = 164,884.69 : x
2. Step 2: Convert to fraction form
   103,696.50/164,884.69 = 164,884.69/x
3. Step 3: Cross multiply
   103,696.50x = 164,884.69 × 164,884.69
4. Step 4: Simplify right side
   103,696.50x = 27,186,960,171.97
5. Step 5: Solve for x
   x = 27,186,960,171.97/103,696.50
6. Step 6: Final answer
   x = 262,178.19