Finding the Third Proportional to 86,333 and 187,071

Step by Step Solution

1. Step 1: Write the proportion equation
   86,333 : 187,071 = 187,071 : x
2. Step 2: Convert to fraction form
   86,333/187,071 = 187,071/x
3. Step 3: Cross multiply
   86,333x = 187,071 × 187,071
4. Step 4: Simplify right side
   86,333x = 34,995,559,041
5. Step 5: Solve for x
   x = 34,995,559,041/86,333
6. Step 6: Final answer
   x = 405,355.53