Finding the Third Proportional to 85,296 and 133,500

Step by Step Solution

1. Step 1: Write the proportion equation
   85,296 : 133,500 = 133,500 : x
2. Step 2: Convert to fraction form
   85,296/133,500 = 133,500/x
3. Step 3: Cross multiply
   85,296x = 133,500 × 133,500
4. Step 4: Simplify right side
   85,296x = 17,822,250,000
5. Step 5: Solve for x
   x = 17,822,250,000/85,296
6. Step 6: Final answer
   x = 208,945.91