Finding the Third Proportional to 89,355 and 178,701

Step by Step Solution

1. Step 1: Write the proportion equation
   89,355 : 178,701 = 178,701 : x
2. Step 2: Convert to fraction form
   89,355/178,701 = 178,701/x
3. Step 3: Cross multiply
   89,355x = 178,701 × 178,701
4. Step 4: Simplify right side
   89,355x = 31,934,047,401
5. Step 5: Solve for x
   x = 31,934,047,401/89,355
6. Step 6: Final answer
   x = 357,384.00