Finding the Third Proportional to 120,649.50 and 177,488.72

Step by Step Solution

1. Step 1: Write the proportion equation
   120,649.50 : 177,488.72 = 177,488.72 : x
2. Step 2: Convert to fraction form
   120,649.50/177,488.72 = 177,488.72/x
3. Step 3: Cross multiply
   120,649.50x = 177,488.72 × 177,488.72
4. Step 4: Simplify right side
   120,649.50x = 31,502,245,283.52
5. Step 5: Solve for x
   x = 31,502,245,283.52/120,649.50
6. Step 6: Final answer
   x = 261,105.48