Finding the Third Proportional to 85,091 and 187,570

Step by Step Solution

1. Step 1: Write the proportion equation
   85,091 : 187,570 = 187,570 : x
2. Step 2: Convert to fraction form
   85,091/187,570 = 187,570/x
3. Step 3: Cross multiply
   85,091x = 187,570 × 187,570
4. Step 4: Simplify right side
   85,091x = 35,182,504,900
5. Step 5: Solve for x
   x = 35,182,504,900/85,091
6. Step 6: Final answer
   x = 413,469.17