Finding the Third Proportional to 114,377.50 and 173,510.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,377.50 : 173,510.50 = 173,510.50 : x
2. Step 2: Convert to fraction form
   114,377.50/173,510.50 = 173,510.50/x
3. Step 3: Cross multiply
   114,377.50x = 173,510.50 × 173,510.50
4. Step 4: Simplify right side
   114,377.50x = 30,105,893,610.25
5. Step 5: Solve for x
   x = 30,105,893,610.25/114,377.50
6. Step 6: Final answer
   x = 263,215.17