Finding the Third Proportional to 89,584 and 186,536

Step by Step Solution

1. Step 1: Write the proportion equation
   89,584 : 186,536 = 186,536 : x
2. Step 2: Convert to fraction form
   89,584/186,536 = 186,536/x
3. Step 3: Cross multiply
   89,584x = 186,536 × 186,536
4. Step 4: Simplify right side
   89,584x = 34,795,679,296
5. Step 5: Solve for x
   x = 34,795,679,296/89,584
6. Step 6: Final answer
   x = 388,413.99