Finding the Third Proportional to 121,604 and 194,261.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,604 : 194,261.50 = 194,261.50 : x
2. Step 2: Convert to fraction form
   121,604/194,261.50 = 194,261.50/x
3. Step 3: Cross multiply
   121,604x = 194,261.50 × 194,261.50
4. Step 4: Simplify right side
   121,604x = 37,737,530,382.25
5. Step 5: Solve for x
   x = 37,737,530,382.25/121,604
6. Step 6: Final answer
   x = 310,331.32