Finding the Third Proportional to 137,057.06 and 205,585.59

Step by Step Solution

1. Step 1: Write the proportion equation
   137,057.06 : 205,585.59 = 205,585.59 : x
2. Step 2: Convert to fraction form
   137,057.06/205,585.59 = 205,585.59/x
3. Step 3: Cross multiply
   137,057.06x = 205,585.59 × 205,585.59
4. Step 4: Simplify right side
   137,057.06x = 42,265,436,357.54
5. Step 5: Solve for x
   x = 42,265,436,357.54/137,057.06
6. Step 6: Final answer
   x = 308,378.39