Finding the Third Proportional to 137,723.63 and 205,945.88

Step by Step Solution

1. Step 1: Write the proportion equation
   137,723.63 : 205,945.88 = 205,945.88 : x
2. Step 2: Convert to fraction form
   137,723.63/205,945.88 = 205,945.88/x
3. Step 3: Cross multiply
   137,723.63x = 205,945.88 × 205,945.88
4. Step 4: Simplify right side
   137,723.63x = 42,413,703,429.52
5. Step 5: Solve for x
   x = 42,413,703,429.52/137,723.63
6. Step 6: Final answer
   x = 307,962.44