Finding the Third Proportional to 129,381 and 205,735.50

Step by Step Solution

1. Step 1: Write the proportion equation
   129,381 : 205,735.50 = 205,735.50 : x
2. Step 2: Convert to fraction form
   129,381/205,735.50 = 205,735.50/x
3. Step 3: Cross multiply
   129,381x = 205,735.50 × 205,735.50
4. Step 4: Simplify right side
   129,381x = 42,327,095,960.25
5. Step 5: Solve for x
   x = 42,327,095,960.25/129,381
6. Step 6: Final answer
   x = 327,150.79