Finding the Third Proportional to 118,733.50 and 174,960.50

Step by Step Solution

1. Step 1: Write the proportion equation
   118,733.50 : 174,960.50 = 174,960.50 : x
2. Step 2: Convert to fraction form
   118,733.50/174,960.50 = 174,960.50/x
3. Step 3: Cross multiply
   118,733.50x = 174,960.50 × 174,960.50
4. Step 4: Simplify right side
   118,733.50x = 30,611,176,560.25
5. Step 5: Solve for x
   x = 30,611,176,560.25/118,733.50
6. Step 6: Final answer
   x = 257,814.15