Finding the Third Proportional to 52,378 and 113,056

Step by Step Solution

1. Step 1: Write the proportion equation
   52,378 : 113,056 = 113,056 : x
2. Step 2: Convert to fraction form
   52,378/113,056 = 113,056/x
3. Step 3: Cross multiply
   52,378x = 113,056 × 113,056
4. Step 4: Simplify right side
   52,378x = 12,781,659,136
5. Step 5: Solve for x
   x = 12,781,659,136/52,378
6. Step 6: Final answer
   x = 244,027.25