Finding the Third Proportional to 116,277 and 174,415.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,277 : 174,415.50 = 174,415.50 : x
2. Step 2: Convert to fraction form
   116,277/174,415.50 = 174,415.50/x
3. Step 3: Cross multiply
   116,277x = 174,415.50 × 174,415.50
4. Step 4: Simplify right side
   116,277x = 30,420,766,640.25
5. Step 5: Solve for x
   x = 30,420,766,640.25/116,277
6. Step 6: Final answer
   x = 261,623.25