Finding the Third Proportional to 86,774 and 189,460

Step by Step Solution

1. Step 1: Write the proportion equation
   86,774 : 189,460 = 189,460 : x
2. Step 2: Convert to fraction form
   86,774/189,460 = 189,460/x
3. Step 3: Cross multiply
   86,774x = 189,460 × 189,460
4. Step 4: Simplify right side
   86,774x = 35,895,091,600
5. Step 5: Solve for x
   x = 35,895,091,600/86,774
6. Step 6: Final answer
   x = 413,661.83