Finding the Third Proportional to 89,400 and 186,151

Step by Step Solution

1. Step 1: Write the proportion equation
   89,400 : 186,151 = 186,151 : x
2. Step 2: Convert to fraction form
   89,400/186,151 = 186,151/x
3. Step 3: Cross multiply
   89,400x = 186,151 × 186,151
4. Step 4: Simplify right side
   89,400x = 34,652,194,801
5. Step 5: Solve for x
   x = 34,652,194,801/89,400
6. Step 6: Final answer
   x = 387,608.44