Finding the Third Proportional to 128,766 and 185,766

Step by Step Solution

1. Step 1: Write the proportion equation
   128,766 : 185,766 = 185,766 : x
2. Step 2: Convert to fraction form
   128,766/185,766 = 185,766/x
3. Step 3: Cross multiply
   128,766x = 185,766 × 185,766
4. Step 4: Simplify right side
   128,766x = 34,509,006,756
5. Step 5: Solve for x
   x = 34,509,006,756/128,766
6. Step 6: Final answer
   x = 267,997.82