Finding the Third Proportional to 120,900 and 177,662

Step by Step Solution

1. Step 1: Write the proportion equation
   120,900 : 177,662 = 177,662 : x
2. Step 2: Convert to fraction form
   120,900/177,662 = 177,662/x
3. Step 3: Cross multiply
   120,900x = 177,662 × 177,662
4. Step 4: Simplify right side
   120,900x = 31,563,786,244
5. Step 5: Solve for x
   x = 31,563,786,244/120,900
6. Step 6: Final answer
   x = 261,073.50