Finding the Third Proportional to 114,024.50 and 176,573.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,024.50 : 176,573.50 = 176,573.50 : x
2. Step 2: Convert to fraction form
   114,024.50/176,573.50 = 176,573.50/x
3. Step 3: Cross multiply
   114,024.50x = 176,573.50 × 176,573.50
4. Step 4: Simplify right side
   114,024.50x = 31,178,200,902.25
5. Step 5: Solve for x
   x = 31,178,200,902.25/114,024.50
6. Step 6: Final answer
   x = 273,434.23