Finding the Third Proportional to 86,379.75 and 188,716.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,379.75 : 188,716.50 = 188,716.50 : x
2. Step 2: Convert to fraction form
   86,379.75/188,716.50 = 188,716.50/x
3. Step 3: Cross multiply
   86,379.75x = 188,716.50 × 188,716.50
4. Step 4: Simplify right side
   86,379.75x = 35,613,917,372.25
5. Step 5: Solve for x
   x = 35,613,917,372.25/86,379.75
6. Step 6: Final answer
   x = 412,294.75