Finding the Third Proportional to 127,709 and 259,066

Step by Step Solution

1. Step 1: Write the proportion equation
   127,709 : 259,066 = 259,066 : x
2. Step 2: Convert to fraction form
   127,709/259,066 = 259,066/x
3. Step 3: Cross multiply
   127,709x = 259,066 × 259,066
4. Step 4: Simplify right side
   127,709x = 67,115,192,356
5. Step 5: Solve for x
   x = 67,115,192,356/127,709
6. Step 6: Final answer
   x = 525,532.20