Finding the Third Proportional to 36,584 and 80,784

Step by Step Solution

1. Step 1: Write the proportion equation
   36,584 : 80,784 = 80,784 : x
2. Step 2: Convert to fraction form
   36,584/80,784 = 80,784/x
3. Step 3: Cross multiply
   36,584x = 80,784 × 80,784
4. Step 4: Simplify right side
   36,584x = 6,526,054,656
5. Step 5: Solve for x
   x = 6,526,054,656/36,584
6. Step 6: Final answer
   x = 178,385.49