Finding the Third Proportional to 89,412 and 186,172

Step by Step Solution

1. Step 1: Write the proportion equation
   89,412 : 186,172 = 186,172 : x
2. Step 2: Convert to fraction form
   89,412/186,172 = 186,172/x
3. Step 3: Cross multiply
   89,412x = 186,172 × 186,172
4. Step 4: Simplify right side
   89,412x = 34,660,013,584
5. Step 5: Solve for x
   x = 34,660,013,584/89,412
6. Step 6: Final answer
   x = 387,643.87