Finding the Third Proportional to 53,298 and 114,663

Step by Step Solution

1. Step 1: Write the proportion equation
   53,298 : 114,663 = 114,663 : x
2. Step 2: Convert to fraction form
   53,298/114,663 = 114,663/x
3. Step 3: Cross multiply
   53,298x = 114,663 × 114,663
4. Step 4: Simplify right side
   53,298x = 13,147,603,569
5. Step 5: Solve for x
   x = 13,147,603,569/53,298
6. Step 6: Final answer
   x = 246,680.99