Finding the Third Proportional to 85,920.75 and 188,778

Step by Step Solution

1. Step 1: Write the proportion equation
   85,920.75 : 188,778 = 188,778 : x
2. Step 2: Convert to fraction form
   85,920.75/188,778 = 188,778/x
3. Step 3: Cross multiply
   85,920.75x = 188,778 × 188,778
4. Step 4: Simplify right side
   85,920.75x = 35,637,133,284
5. Step 5: Solve for x
   x = 35,637,133,284/85,920.75
6. Step 6: Final answer
   x = 414,767.48