Finding the Third Proportional to 123,326 and 265,066

Step by Step Solution

1. Step 1: Write the proportion equation
   123,326 : 265,066 = 265,066 : x
2. Step 2: Convert to fraction form
   123,326/265,066 = 265,066/x
3. Step 3: Cross multiply
   123,326x = 265,066 × 265,066
4. Step 4: Simplify right side
   123,326x = 70,259,984,356
5. Step 5: Solve for x
   x = 70,259,984,356/123,326
6. Step 6: Final answer
   x = 569,709.42