Finding the Third Proportional to 117,697.50 and 174,259.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,697.50 : 174,259.50 = 174,259.50 : x
2. Step 2: Convert to fraction form
   117,697.50/174,259.50 = 174,259.50/x
3. Step 3: Cross multiply
   117,697.50x = 174,259.50 × 174,259.50
4. Step 4: Simplify right side
   117,697.50x = 30,366,373,340.25
5. Step 5: Solve for x
   x = 30,366,373,340.25/117,697.50
6. Step 6: Final answer
   x = 258,003.55