Finding the Third Proportional to 86,985 and 188,361

Step by Step Solution

1. Step 1: Write the proportion equation
   86,985 : 188,361 = 188,361 : x
2. Step 2: Convert to fraction form
   86,985/188,361 = 188,361/x
3. Step 3: Cross multiply
   86,985x = 188,361 × 188,361
4. Step 4: Simplify right side
   86,985x = 35,479,866,321
5. Step 5: Solve for x
   x = 35,479,866,321/86,985
6. Step 6: Final answer
   x = 407,884.88