Finding the Third Proportional to 86,054 and 186,406

Step by Step Solution

1. Step 1: Write the proportion equation
   86,054 : 186,406 = 186,406 : x
2. Step 2: Convert to fraction form
   86,054/186,406 = 186,406/x
3. Step 3: Cross multiply
   86,054x = 186,406 × 186,406
4. Step 4: Simplify right side
   86,054x = 34,747,196,836
5. Step 5: Solve for x
   x = 34,747,196,836/86,054
6. Step 6: Final answer
   x = 403,783.63