Finding the Third Proportional to 89,410 and 186,167

Step by Step Solution

1. Step 1: Write the proportion equation
   89,410 : 186,167 = 186,167 : x
2. Step 2: Convert to fraction form
   89,410/186,167 = 186,167/x
3. Step 3: Cross multiply
   89,410x = 186,167 × 186,167
4. Step 4: Simplify right side
   89,410x = 34,658,151,889
5. Step 5: Solve for x
   x = 34,658,151,889/89,410
6. Step 6: Final answer
   x = 387,631.72