Finding the Third Proportional to 114,009 and 175,495.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,009 : 175,495.50 = 175,495.50 : x
2. Step 2: Convert to fraction form
   114,009/175,495.50 = 175,495.50/x
3. Step 3: Cross multiply
   114,009x = 175,495.50 × 175,495.50
4. Step 4: Simplify right side
   114,009x = 30,798,670,520.25
5. Step 5: Solve for x
   x = 30,798,670,520.25/114,009
6. Step 6: Final answer
   x = 270,142.45