Finding the Third Proportional to 120,777 and 177,472.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,777 : 177,472.50 = 177,472.50 : x
2. Step 2: Convert to fraction form
   120,777/177,472.50 = 177,472.50/x
3. Step 3: Cross multiply
   120,777x = 177,472.50 × 177,472.50
4. Step 4: Simplify right side
   120,777x = 31,496,488,256.25
5. Step 5: Solve for x
   x = 31,496,488,256.25/120,777
6. Step 6: Final answer
   x = 260,782.17