Finding the Third Proportional to 89,406 and 186,159

Step by Step Solution

1. Step 1: Write the proportion equation
   89,406 : 186,159 = 186,159 : x
2. Step 2: Convert to fraction form
   89,406/186,159 = 186,159/x
3. Step 3: Cross multiply
   89,406x = 186,159 × 186,159
4. Step 4: Simplify right side
   89,406x = 34,655,173,281
5. Step 5: Solve for x
   x = 34,655,173,281/89,406
6. Step 6: Final answer
   x = 387,615.74