Finding the Third Proportional to 89,416 and 186,178

Step by Step Solution

1. Step 1: Write the proportion equation
   89,416 : 186,178 = 186,178 : x
2. Step 2: Convert to fraction form
   89,416/186,178 = 186,178/x
3. Step 3: Cross multiply
   89,416x = 186,178 × 186,178
4. Step 4: Simplify right side
   89,416x = 34,662,247,684
5. Step 5: Solve for x
   x = 34,662,247,684/89,416
6. Step 6: Final answer
   x = 387,651.51