Finding the Third Proportional to 127,753 and 196,093.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,753 : 196,093.50 = 196,093.50 : x
2. Step 2: Convert to fraction form
   127,753/196,093.50 = 196,093.50/x
3. Step 3: Cross multiply
   127,753x = 196,093.50 × 196,093.50
4. Step 4: Simplify right side
   127,753x = 38,452,660,742.25
5. Step 5: Solve for x
   x = 38,452,660,742.25/127,753
6. Step 6: Final answer
   x = 300,992.23