Finding the Third Proportional to 86,321 and 188,333

Step by Step Solution

1. Step 1: Write the proportion equation
   86,321 : 188,333 = 188,333 : x
2. Step 2: Convert to fraction form
   86,321/188,333 = 188,333/x
3. Step 3: Cross multiply
   86,321x = 188,333 × 188,333
4. Step 4: Simplify right side
   86,321x = 35,469,318,889
5. Step 5: Solve for x
   x = 35,469,318,889/86,321
6. Step 6: Final answer
   x = 410,900.23