Finding the Third Proportional to 121,608 and 194,267.25

Step by Step Solution

1. Step 1: Write the proportion equation
   121,608 : 194,267.25 = 194,267.25 : x
2. Step 2: Convert to fraction form
   121,608/194,267.25 = 194,267.25/x
3. Step 3: Cross multiply
   121,608x = 194,267.25 × 194,267.25
4. Step 4: Simplify right side
   121,608x = 37,739,764,422.56
5. Step 5: Solve for x
   x = 37,739,764,422.56/121,608
6. Step 6: Final answer
   x = 310,339.49