Finding the Third Proportional to 86,746 and 189,210

Step by Step Solution

1. Step 1: Write the proportion equation
   86,746 : 189,210 = 189,210 : x
2. Step 2: Convert to fraction form
   86,746/189,210 = 189,210/x
3. Step 3: Cross multiply
   86,746x = 189,210 × 189,210
4. Step 4: Simplify right side
   86,746x = 35,800,424,100
5. Step 5: Solve for x
   x = 35,800,424,100/86,746
6. Step 6: Final answer
   x = 412,704.03