Finding the Third Proportional to 89,404 and 186,158

Step by Step Solution

1. Step 1: Write the proportion equation
   89,404 : 186,158 = 186,158 : x
2. Step 2: Convert to fraction form
   89,404/186,158 = 186,158/x
3. Step 3: Cross multiply
   89,404x = 186,158 × 186,158
4. Step 4: Simplify right side
   89,404x = 34,654,800,964
5. Step 5: Solve for x
   x = 34,654,800,964/89,404
6. Step 6: Final answer
   x = 387,620.25