Finding the Third Proportional to 86,280 and 189,180

Step by Step Solution

1. Step 1: Write the proportion equation
   86,280 : 189,180 = 189,180 : x
2. Step 2: Convert to fraction form
   86,280/189,180 = 189,180/x
3. Step 3: Cross multiply
   86,280x = 189,180 × 189,180
4. Step 4: Simplify right side
   86,280x = 35,789,072,400
5. Step 5: Solve for x
   x = 35,789,072,400/86,280
6. Step 6: Final answer
   x = 414,801.49