Finding the Third Proportional to 89,757 and 185,355

Step by Step Solution

1. Step 1: Write the proportion equation
   89,757 : 185,355 = 185,355 : x
2. Step 2: Convert to fraction form
   89,757/185,355 = 185,355/x
3. Step 3: Cross multiply
   89,757x = 185,355 × 185,355
4. Step 4: Simplify right side
   89,757x = 34,356,476,025
5. Step 5: Solve for x
   x = 34,356,476,025/89,757
6. Step 6: Final answer
   x = 382,772.11