Finding the Third Proportional to 117,618 and 177,510

Step by Step Solution

1. Step 1: Write the proportion equation
   117,618 : 177,510 = 177,510 : x
2. Step 2: Convert to fraction form
   117,618/177,510 = 177,510/x
3. Step 3: Cross multiply
   117,618x = 177,510 × 177,510
4. Step 4: Simplify right side
   117,618x = 31,509,800,100
5. Step 5: Solve for x
   x = 31,509,800,100/117,618
6. Step 6: Final answer
   x = 267,899.47