Finding the Third Proportional to 85,369 and 186,290

Step by Step Solution

1. Step 1: Write the proportion equation
   85,369 : 186,290 = 186,290 : x
2. Step 2: Convert to fraction form
   85,369/186,290 = 186,290/x
3. Step 3: Cross multiply
   85,369x = 186,290 × 186,290
4. Step 4: Simplify right side
   85,369x = 34,703,964,100
5. Step 5: Solve for x
   x = 34,703,964,100/85,369
6. Step 6: Final answer
   x = 406,517.17