Finding the Third Proportional to 138,066 and 205,155

Step by Step Solution

1. Step 1: Write the proportion equation
   138,066 : 205,155 = 205,155 : x
2. Step 2: Convert to fraction form
   138,066/205,155 = 205,155/x
3. Step 3: Cross multiply
   138,066x = 205,155 × 205,155
4. Step 4: Simplify right side
   138,066x = 42,088,574,025
5. Step 5: Solve for x
   x = 42,088,574,025/138,066
6. Step 6: Final answer
   x = 304,843.87