Finding the Third Proportional to 136,706 and 205,055

Step by Step Solution

1. Step 1: Write the proportion equation
   136,706 : 205,055 = 205,055 : x
2. Step 2: Convert to fraction form
   136,706/205,055 = 205,055/x
3. Step 3: Cross multiply
   136,706x = 205,055 × 205,055
4. Step 4: Simplify right side
   136,706x = 42,047,553,025
5. Step 5: Solve for x
   x = 42,047,553,025/136,706
6. Step 6: Final answer
   x = 307,576.50