Finding the Third Proportional to 110,667 and 175,954.50

Step by Step Solution

1. Step 1: Write the proportion equation
   110,667 : 175,954.50 = 175,954.50 : x
2. Step 2: Convert to fraction form
   110,667/175,954.50 = 175,954.50/x
3. Step 3: Cross multiply
   110,667x = 175,954.50 × 175,954.50
4. Step 4: Simplify right side
   110,667x = 30,959,986,070.25
5. Step 5: Solve for x
   x = 30,959,986,070.25/110,667
6. Step 6: Final answer
   x = 279,758.07