Finding the Third Proportional to 85,502 and 187,096

Step by Step Solution

1. Step 1: Write the proportion equation
   85,502 : 187,096 = 187,096 : x
2. Step 2: Convert to fraction form
   85,502/187,096 = 187,096/x
3. Step 3: Cross multiply
   85,502x = 187,096 × 187,096
4. Step 4: Simplify right side
   85,502x = 35,004,913,216
5. Step 5: Solve for x
   x = 35,004,913,216/85,502
6. Step 6: Final answer
   x = 409,404.61