Finding the Third Proportional to 120,826.69 and 177,541.88

Step by Step Solution

1. Step 1: Write the proportion equation
   120,826.69 : 177,541.88 = 177,541.88 : x
2. Step 2: Convert to fraction form
   120,826.69/177,541.88 = 177,541.88/x
3. Step 3: Cross multiply
   120,826.69x = 177,541.88 × 177,541.88
4. Step 4: Simplify right side
   120,826.69x = 31,521,117,378.52
5. Step 5: Solve for x
   x = 31,521,117,378.52/120,826.69
6. Step 6: Final answer
   x = 260,878.77