Finding the Third Proportional to 83,299.50 and 178,911

Step by Step Solution

1. Step 1: Write the proportion equation
   83,299.50 : 178,911 = 178,911 : x
2. Step 2: Convert to fraction form
   83,299.50/178,911 = 178,911/x
3. Step 3: Cross multiply
   83,299.50x = 178,911 × 178,911
4. Step 4: Simplify right side
   83,299.50x = 32,009,145,921
5. Step 5: Solve for x
   x = 32,009,145,921/83,299.50
6. Step 6: Final answer
   x = 384,265.76