Finding the Third Proportional to 117,294 and 194,137.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,294 : 194,137.50 = 194,137.50 : x
2. Step 2: Convert to fraction form
   117,294/194,137.50 = 194,137.50/x
3. Step 3: Cross multiply
   117,294x = 194,137.50 × 194,137.50
4. Step 4: Simplify right side
   117,294x = 37,689,368,906.25
5. Step 5: Solve for x
   x = 37,689,368,906.25/117,294
6. Step 6: Final answer
   x = 321,323.93