Finding the Third Proportional to 86,076 and 188,766

Step by Step Solution

1. Step 1: Write the proportion equation
   86,076 : 188,766 = 188,766 : x
2. Step 2: Convert to fraction form
   86,076/188,766 = 188,766/x
3. Step 3: Cross multiply
   86,076x = 188,766 × 188,766
4. Step 4: Simplify right side
   86,076x = 35,632,602,756
5. Step 5: Solve for x
   x = 35,632,602,756/86,076
6. Step 6: Final answer
   x = 413,966.76