Finding the Third Proportional to 36,208 and 76,784

Step by Step Solution

1. Step 1: Write the proportion equation
   36,208 : 76,784 = 76,784 : x
2. Step 2: Convert to fraction form
   36,208/76,784 = 76,784/x
3. Step 3: Cross multiply
   36,208x = 76,784 × 76,784
4. Step 4: Simplify right side
   36,208x = 5,895,782,656
5. Step 5: Solve for x
   x = 5,895,782,656/36,208
6. Step 6: Final answer
   x = 162,830.94