Finding the Third Proportional to 89,197 and 187,151

Step by Step Solution

1. Step 1: Write the proportion equation
   89,197 : 187,151 = 187,151 : x
2. Step 2: Convert to fraction form
   89,197/187,151 = 187,151/x
3. Step 3: Cross multiply
   89,197x = 187,151 × 187,151
4. Step 4: Simplify right side
   89,197x = 35,025,496,801
5. Step 5: Solve for x
   x = 35,025,496,801/89,197
6. Step 6: Final answer
   x = 392,675.73