Finding the Third Proportional to 113,566 and 238,902

Step by Step Solution

1. Step 1: Write the proportion equation
   113,566 : 238,902 = 238,902 : x
2. Step 2: Convert to fraction form
   113,566/238,902 = 238,902/x
3. Step 3: Cross multiply
   113,566x = 238,902 × 238,902
4. Step 4: Simplify right side
   113,566x = 57,074,165,604
5. Step 5: Solve for x
   x = 57,074,165,604/113,566
6. Step 6: Final answer
   x = 502,563.84