Finding the Third Proportional to 138,591 and 193,093.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,591 : 193,093.50 = 193,093.50 : x
2. Step 2: Convert to fraction form
   138,591/193,093.50 = 193,093.50/x
3. Step 3: Cross multiply
   138,591x = 193,093.50 × 193,093.50
4. Step 4: Simplify right side
   138,591x = 37,285,099,742.25
5. Step 5: Solve for x
   x = 37,285,099,742.25/138,591
6. Step 6: Final answer
   x = 269,029.73