Finding the Third Proportional to 89,264 and 185,089

Step by Step Solution

1. Step 1: Write the proportion equation
   89,264 : 185,089 = 185,089 : x
2. Step 2: Convert to fraction form
   89,264/185,089 = 185,089/x
3. Step 3: Cross multiply
   89,264x = 185,089 × 185,089
4. Step 4: Simplify right side
   89,264x = 34,257,937,921
5. Step 5: Solve for x
   x = 34,257,937,921/89,264
6. Step 6: Final answer
   x = 383,782.24