Finding the Third Proportional to 122,238 and 194,494.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,238 : 194,494.50 = 194,494.50 : x
2. Step 2: Convert to fraction form
   122,238/194,494.50 = 194,494.50/x
3. Step 3: Cross multiply
   122,238x = 194,494.50 × 194,494.50
4. Step 4: Simplify right side
   122,238x = 37,828,110,530.25
5. Step 5: Solve for x
   x = 37,828,110,530.25/122,238
6. Step 6: Final answer
   x = 309,462.77