Finding the Third Proportional to 110,827.50 and 175,519.50

Step by Step Solution

1. Step 1: Write the proportion equation
   110,827.50 : 175,519.50 = 175,519.50 : x
2. Step 2: Convert to fraction form
   110,827.50/175,519.50 = 175,519.50/x
3. Step 3: Cross multiply
   110,827.50x = 175,519.50 × 175,519.50
4. Step 4: Simplify right side
   110,827.50x = 30,807,094,880.25
5. Step 5: Solve for x
   x = 30,807,094,880.25/110,827.50
6. Step 6: Final answer
   x = 277,973.38