Finding the Third Proportional to 113,848 and 265,988

Step by Step Solution

1. Step 1: Write the proportion equation
   113,848 : 265,988 = 265,988 : x
2. Step 2: Convert to fraction form
   113,848/265,988 = 265,988/x
3. Step 3: Cross multiply
   113,848x = 265,988 × 265,988
4. Step 4: Simplify right side
   113,848x = 70,749,616,144
5. Step 5: Solve for x
   x = 70,749,616,144/113,848
6. Step 6: Final answer
   x = 621,439.25