Finding the Third Proportional to 85,436 and 186,956

Step by Step Solution

1. Step 1: Write the proportion equation
   85,436 : 186,956 = 186,956 : x
2. Step 2: Convert to fraction form
   85,436/186,956 = 186,956/x
3. Step 3: Cross multiply
   85,436x = 186,956 × 186,956
4. Step 4: Simplify right side
   85,436x = 34,952,545,936
5. Step 5: Solve for x
   x = 34,952,545,936/85,436
6. Step 6: Final answer
   x = 409,107.94