Finding the Third Proportional to 80,640 and 185,088

Step by Step Solution

1. Step 1: Write the proportion equation
   80,640 : 185,088 = 185,088 : x
2. Step 2: Convert to fraction form
   80,640/185,088 = 185,088/x
3. Step 3: Cross multiply
   80,640x = 185,088 × 185,088
4. Step 4: Simplify right side
   80,640x = 34,257,567,744
5. Step 5: Solve for x
   x = 34,257,567,744/80,640
6. Step 6: Final answer
   x = 424,821.03