Finding the Third Proportional to 120,578 and 177,381.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,578 : 177,381.50 = 177,381.50 : x
2. Step 2: Convert to fraction form
   120,578/177,381.50 = 177,381.50/x
3. Step 3: Cross multiply
   120,578x = 177,381.50 × 177,381.50
4. Step 4: Simplify right side
   120,578x = 31,464,196,542.25
5. Step 5: Solve for x
   x = 31,464,196,542.25/120,578
6. Step 6: Final answer
   x = 260,944.75