Finding the Third Proportional to 86,155 and 186,147

Step by Step Solution

1. Step 1: Write the proportion equation
   86,155 : 186,147 = 186,147 : x
2. Step 2: Convert to fraction form
   86,155/186,147 = 186,147/x
3. Step 3: Cross multiply
   86,155x = 186,147 × 186,147
4. Step 4: Simplify right side
   86,155x = 34,650,705,609
5. Step 5: Solve for x
   x = 34,650,705,609/86,155
6. Step 6: Final answer
   x = 402,190.30