Finding the Third Proportional to 86,466 and 189,333

Step by Step Solution

1. Step 1: Write the proportion equation
   86,466 : 189,333 = 189,333 : x
2. Step 2: Convert to fraction form
   86,466/189,333 = 189,333/x
3. Step 3: Cross multiply
   86,466x = 189,333 × 189,333
4. Step 4: Simplify right side
   86,466x = 35,846,984,889
5. Step 5: Solve for x
   x = 35,846,984,889/86,466
6. Step 6: Final answer
   x = 414,578.97