Finding the Third Proportional to 120,007.50 and 277,824

Step by Step Solution

1. Step 1: Write the proportion equation
   120,007.50 : 277,824 = 277,824 : x
2. Step 2: Convert to fraction form
   120,007.50/277,824 = 277,824/x
3. Step 3: Cross multiply
   120,007.50x = 277,824 × 277,824
4. Step 4: Simplify right side
   120,007.50x = 77,186,174,976
5. Step 5: Solve for x
   x = 77,186,174,976/120,007.50
6. Step 6: Final answer
   x = 643,177.93