Finding the Third Proportional to 128,906 and 277,561.50

Step by Step Solution

1. Step 1: Write the proportion equation
   128,906 : 277,561.50 = 277,561.50 : x
2. Step 2: Convert to fraction form
   128,906/277,561.50 = 277,561.50/x
3. Step 3: Cross multiply
   128,906x = 277,561.50 × 277,561.50
4. Step 4: Simplify right side
   128,906x = 77,040,386,282.25
5. Step 5: Solve for x
   x = 77,040,386,282.25/128,906
6. Step 6: Final answer
   x = 597,647.79