Finding the Third Proportional to 109,203 and 171,338.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,203 : 171,338.50 = 171,338.50 : x
2. Step 2: Convert to fraction form
   109,203/171,338.50 = 171,338.50/x
3. Step 3: Cross multiply
   109,203x = 171,338.50 × 171,338.50
4. Step 4: Simplify right side
   109,203x = 29,356,881,582.25
5. Step 5: Solve for x
   x = 29,356,881,582.25/109,203
6. Step 6: Final answer
   x = 268,828.53