Finding the Third Proportional to 85,382 and 187,099

Step by Step Solution

1. Step 1: Write the proportion equation
   85,382 : 187,099 = 187,099 : x
2. Step 2: Convert to fraction form
   85,382/187,099 = 187,099/x
3. Step 3: Cross multiply
   85,382x = 187,099 × 187,099
4. Step 4: Simplify right side
   85,382x = 35,006,035,801
5. Step 5: Solve for x
   x = 35,006,035,801/85,382
6. Step 6: Final answer
   x = 409,993.16