Finding the Third Proportional to 85,707 and 186,156

Step by Step Solution

1. Step 1: Write the proportion equation
   85,707 : 186,156 = 186,156 : x
2. Step 2: Convert to fraction form
   85,707/186,156 = 186,156/x
3. Step 3: Cross multiply
   85,707x = 186,156 × 186,156
4. Step 4: Simplify right side
   85,707x = 34,654,056,336
5. Step 5: Solve for x
   x = 34,654,056,336/85,707
6. Step 6: Final answer
   x = 404,331.69