Finding the Third Proportional to 113,563 and 238,896

Step by Step Solution

1. Step 1: Write the proportion equation
   113,563 : 238,896 = 238,896 : x
2. Step 2: Convert to fraction form
   113,563/238,896 = 238,896/x
3. Step 3: Cross multiply
   113,563x = 238,896 × 238,896
4. Step 4: Simplify right side
   113,563x = 57,071,298,816
5. Step 5: Solve for x
   x = 57,071,298,816/113,563
6. Step 6: Final answer
   x = 502,551.88