Finding the Third Proportional to 120,012 and 277,834.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,012 : 277,834.50 = 277,834.50 : x
2. Step 2: Convert to fraction form
   120,012/277,834.50 = 277,834.50/x
3. Step 3: Cross multiply
   120,012x = 277,834.50 × 277,834.50
4. Step 4: Simplify right side
   120,012x = 77,192,009,390.25
5. Step 5: Solve for x
   x = 77,192,009,390.25/120,012
6. Step 6: Final answer
   x = 643,202.42