Finding the Third Proportional to 52,896 and 115,500

Step by Step Solution

1. Step 1: Write the proportion equation
   52,896 : 115,500 = 115,500 : x
2. Step 2: Convert to fraction form
   52,896/115,500 = 115,500/x
3. Step 3: Cross multiply
   52,896x = 115,500 × 115,500
4. Step 4: Simplify right side
   52,896x = 13,340,250,000
5. Step 5: Solve for x
   x = 13,340,250,000/52,896
6. Step 6: Final answer
   x = 252,197.71