Finding the Third Proportional to 86,250 and 186,108

Step by Step Solution

1. Step 1: Write the proportion equation
   86,250 : 186,108 = 186,108 : x
2. Step 2: Convert to fraction form
   86,250/186,108 = 186,108/x
3. Step 3: Cross multiply
   86,250x = 186,108 × 186,108
4. Step 4: Simplify right side
   86,250x = 34,636,187,664
5. Step 5: Solve for x
   x = 34,636,187,664/86,250
6. Step 6: Final answer
   x = 401,578.99