Finding the Third Proportional to 85,709 and 186,160

Step by Step Solution

1. Step 1: Write the proportion equation
   85,709 : 186,160 = 186,160 : x
2. Step 2: Convert to fraction form
   85,709/186,160 = 186,160/x
3. Step 3: Cross multiply
   85,709x = 186,160 × 186,160
4. Step 4: Simplify right side
   85,709x = 34,655,545,600
5. Step 5: Solve for x
   x = 34,655,545,600/85,709
6. Step 6: Final answer
   x = 404,339.63