Finding the Third Proportional to 117,685.50 and 174,242.25

Step by Step Solution

1. Step 1: Write the proportion equation
   117,685.50 : 174,242.25 = 174,242.25 : x
2. Step 2: Convert to fraction form
   117,685.50/174,242.25 = 174,242.25/x
3. Step 3: Cross multiply
   117,685.50x = 174,242.25 × 174,242.25
4. Step 4: Simplify right side
   117,685.50x = 30,360,361,685.06
5. Step 5: Solve for x
   x = 30,360,361,685.06/117,685.50
6. Step 6: Final answer
   x = 257,978.78