Finding the Third Proportional to 138,697 and 205,453.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,697 : 205,453.50 = 205,453.50 : x
2. Step 2: Convert to fraction form
   138,697/205,453.50 = 205,453.50/x
3. Step 3: Cross multiply
   138,697x = 205,453.50 × 205,453.50
4. Step 4: Simplify right side
   138,697x = 42,211,140,662.25
5. Step 5: Solve for x
   x = 42,211,140,662.25/138,697
6. Step 6: Final answer
   x = 304,340.69