Finding the Third Proportional to 117,289.50 and 194,131.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,289.50 : 194,131.50 = 194,131.50 : x
2. Step 2: Convert to fraction form
   117,289.50/194,131.50 = 194,131.50/x
3. Step 3: Cross multiply
   117,289.50x = 194,131.50 × 194,131.50
4. Step 4: Simplify right side
   117,289.50x = 37,687,039,292.25
5. Step 5: Solve for x
   x = 37,687,039,292.25/117,289.50
6. Step 6: Final answer
   x = 321,316.39