Finding the Third Proportional to 86,498 and 186,334

Step by Step Solution

1. Step 1: Write the proportion equation
   86,498 : 186,334 = 186,334 : x
2. Step 2: Convert to fraction form
   86,498/186,334 = 186,334/x
3. Step 3: Cross multiply
   86,498x = 186,334 × 186,334
4. Step 4: Simplify right side
   86,498x = 34,720,359,556
5. Step 5: Solve for x
   x = 34,720,359,556/86,498
6. Step 6: Final answer
   x = 401,400.72