Finding the Third Proportional to 86,327 and 188,345

Step by Step Solution

1. Step 1: Write the proportion equation
   86,327 : 188,345 = 188,345 : x
2. Step 2: Convert to fraction form
   86,327/188,345 = 188,345/x
3. Step 3: Cross multiply
   86,327x = 188,345 × 188,345
4. Step 4: Simplify right side
   86,327x = 35,473,839,025
5. Step 5: Solve for x
   x = 35,473,839,025/86,327
6. Step 6: Final answer
   x = 410,924.03