Finding the Third Proportional to 114,013.50 and 242,791.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,013.50 : 242,791.50 = 242,791.50 : x
2. Step 2: Convert to fraction form
   114,013.50/242,791.50 = 242,791.50/x
3. Step 3: Cross multiply
   114,013.50x = 242,791.50 × 242,791.50
4. Step 4: Simplify right side
   114,013.50x = 58,947,712,472.25
5. Step 5: Solve for x
   x = 58,947,712,472.25/114,013.50
6. Step 6: Final answer
   x = 517,023.97