Finding the Third Proportional to 52,809 and 108,078

Step by Step Solution

1. Step 1: Write the proportion equation
   52,809 : 108,078 = 108,078 : x
2. Step 2: Convert to fraction form
   52,809/108,078 = 108,078/x
3. Step 3: Cross multiply
   52,809x = 108,078 × 108,078
4. Step 4: Simplify right side
   52,809x = 11,680,854,084
5. Step 5: Solve for x
   x = 11,680,854,084/52,809
6. Step 6: Final answer
   x = 221,190.59