Finding the Third Proportional to 110,974.50 and 173,902.50

Step by Step Solution

1. Step 1: Write the proportion equation
   110,974.50 : 173,902.50 = 173,902.50 : x
2. Step 2: Convert to fraction form
   110,974.50/173,902.50 = 173,902.50/x
3. Step 3: Cross multiply
   110,974.50x = 173,902.50 × 173,902.50
4. Step 4: Simplify right side
   110,974.50x = 30,242,079,506.25
5. Step 5: Solve for x
   x = 30,242,079,506.25/110,974.50
6. Step 6: Final answer
   x = 272,513.77