Finding the Third Proportional to 124,646 and 193,369.50

Step by Step Solution

1. Step 1: Write the proportion equation
   124,646 : 193,369.50 = 193,369.50 : x
2. Step 2: Convert to fraction form
   124,646/193,369.50 = 193,369.50/x
3. Step 3: Cross multiply
   124,646x = 193,369.50 × 193,369.50
4. Step 4: Simplify right side
   124,646x = 37,391,763,530.25
5. Step 5: Solve for x
   x = 37,391,763,530.25/124,646
6. Step 6: Final answer
   x = 299,983.66