Finding the Third Proportional to 89,419 and 186,181

Step by Step Solution

1. Step 1: Write the proportion equation
   89,419 : 186,181 = 186,181 : x
2. Step 2: Convert to fraction form
   89,419/186,181 = 186,181/x
3. Step 3: Cross multiply
   89,419x = 186,181 × 186,181
4. Step 4: Simplify right side
   89,419x = 34,663,364,761
5. Step 5: Solve for x
   x = 34,663,364,761/89,419
6. Step 6: Final answer
   x = 387,651.00