Finding the Third Proportional to 120,706 and 177,359.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,706 : 177,359.50 = 177,359.50 : x
2. Step 2: Convert to fraction form
   120,706/177,359.50 = 177,359.50/x
3. Step 3: Cross multiply
   120,706x = 177,359.50 × 177,359.50
4. Step 4: Simplify right side
   120,706x = 31,456,392,240.25
5. Step 5: Solve for x
   x = 31,456,392,240.25/120,706
6. Step 6: Final answer
   x = 260,603.39