Finding the Third Proportional to 85,068 and 186,498

Step by Step Solution

1. Step 1: Write the proportion equation
   85,068 : 186,498 = 186,498 : x
2. Step 2: Convert to fraction form
   85,068/186,498 = 186,498/x
3. Step 3: Cross multiply
   85,068x = 186,498 × 186,498
4. Step 4: Simplify right side
   85,068x = 34,781,504,004
5. Step 5: Solve for x
   x = 34,781,504,004/85,068
6. Step 6: Final answer
   x = 408,867.07