Finding the Third Proportional to 121,601 and 194,258.38

Step by Step Solution

1. Step 1: Write the proportion equation
   121,601 : 194,258.38 = 194,258.38 : x
2. Step 2: Convert to fraction form
   121,601/194,258.38 = 194,258.38/x
3. Step 3: Cross multiply
   121,601x = 194,258.38 × 194,258.38
4. Step 4: Simplify right side
   121,601x = 37,736,316,257.64
5. Step 5: Solve for x
   x = 37,736,316,257.64/121,601
6. Step 6: Final answer
   x = 310,329.00