Finding the Third Proportional to 83,626.50 and 178,701

Step by Step Solution

1. Step 1: Write the proportion equation
   83,626.50 : 178,701 = 178,701 : x
2. Step 2: Convert to fraction form
   83,626.50/178,701 = 178,701/x
3. Step 3: Cross multiply
   83,626.50x = 178,701 × 178,701
4. Step 4: Simplify right side
   83,626.50x = 31,934,047,401
5. Step 5: Solve for x
   x = 31,934,047,401/83,626.50
6. Step 6: Final answer
   x = 381,865.17