Finding the Third Proportional to 89,414 and 186,174

Step by Step Solution

1. Step 1: Write the proportion equation
   89,414 : 186,174 = 186,174 : x
2. Step 2: Convert to fraction form
   89,414/186,174 = 186,174/x
3. Step 3: Cross multiply
   89,414x = 186,174 × 186,174
4. Step 4: Simplify right side
   89,414x = 34,660,758,276
5. Step 5: Solve for x
   x = 34,660,758,276/89,414
6. Step 6: Final answer
   x = 387,643.53