Finding the Third Proportional to 238,158 and 509,066

Step by Step Solution

1. Step 1: Write the proportion equation
   238,158 : 509,066 = 509,066 : x
2. Step 2: Convert to fraction form
   238,158/509,066 = 509,066/x
3. Step 3: Cross multiply
   238,158x = 509,066 × 509,066
4. Step 4: Simplify right side
   238,158x = 259,148,192,356
5. Step 5: Solve for x
   x = 259,148,192,356/238,158
6. Step 6: Final answer
   x = 1,088,135.58