Finding the Third Proportional to 89,709 and 185,259

Step by Step Solution

1. Step 1: Write the proportion equation
   89,709 : 185,259 = 185,259 : x
2. Step 2: Convert to fraction form
   89,709/185,259 = 185,259/x
3. Step 3: Cross multiply
   89,709x = 185,259 × 185,259
4. Step 4: Simplify right side
   89,709x = 34,320,897,081
5. Step 5: Solve for x
   x = 34,320,897,081/89,709
6. Step 6: Final answer
   x = 382,580.31