Finding the Third Proportional to 114,409 and 177,150

Step by Step Solution

1. Step 1: Write the proportion equation
   114,409 : 177,150 = 177,150 : x
2. Step 2: Convert to fraction form
   114,409/177,150 = 177,150/x
3. Step 3: Cross multiply
   114,409x = 177,150 × 177,150
4. Step 4: Simplify right side
   114,409x = 31,382,122,500
5. Step 5: Solve for x
   x = 31,382,122,500/114,409
6. Step 6: Final answer
   x = 274,297.67