Finding the Third Proportional to 23,478 and 52,204

Step by Step Solution

1. Step 1: Write the proportion equation
   23,478 : 52,204 = 52,204 : x
2. Step 2: Convert to fraction form
   23,478/52,204 = 52,204/x
3. Step 3: Cross multiply
   23,478x = 52,204 × 52,204
4. Step 4: Simplify right side
   23,478x = 2,725,257,616
5. Step 5: Solve for x
   x = 2,725,257,616/23,478
6. Step 6: Final answer
   x = 116,077.08