Finding the Third Proportional to 41,604 and 85,152

Step by Step Solution

1. Step 1: Write the proportion equation
   41,604 : 85,152 = 85,152 : x
2. Step 2: Convert to fraction form
   41,604/85,152 = 85,152/x
3. Step 3: Cross multiply
   41,604x = 85,152 × 85,152
4. Step 4: Simplify right side
   41,604x = 7,250,863,104
5. Step 5: Solve for x
   x = 7,250,863,104/41,604
6. Step 6: Final answer
   x = 174,282.84