Finding the Third Proportional to 89,434 and 186,212

Step by Step Solution

1. Step 1: Write the proportion equation
   89,434 : 186,212 = 186,212 : x
2. Step 2: Convert to fraction form
   89,434/186,212 = 186,212/x
3. Step 3: Cross multiply
   89,434x = 186,212 × 186,212
4. Step 4: Simplify right side
   89,434x = 34,674,908,944
5. Step 5: Solve for x
   x = 34,674,908,944/89,434
6. Step 6: Final answer
   x = 387,715.06