Finding the Third Proportional to 107,428.50 and 164,578.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,428.50 : 164,578.50 = 164,578.50 : x
2. Step 2: Convert to fraction form
   107,428.50/164,578.50 = 164,578.50/x
3. Step 3: Cross multiply
   107,428.50x = 164,578.50 × 164,578.50
4. Step 4: Simplify right side
   107,428.50x = 27,086,082,662.25
5. Step 5: Solve for x
   x = 27,086,082,662.25/107,428.50
6. Step 6: Final answer
   x = 252,131.26