Finding the Third Proportional to 122,241 and 194,509.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,241 : 194,509.50 = 194,509.50 : x
2. Step 2: Convert to fraction form
   122,241/194,509.50 = 194,509.50/x
3. Step 3: Cross multiply
   122,241x = 194,509.50 × 194,509.50
4. Step 4: Simplify right side
   122,241x = 37,833,945,590.25
5. Step 5: Solve for x
   x = 37,833,945,590.25/122,241
6. Step 6: Final answer
   x = 309,502.91