Finding the Third Proportional to 83,182.50 and 178,816.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,182.50 : 178,816.50 = 178,816.50 : x
2. Step 2: Convert to fraction form
   83,182.50/178,816.50 = 178,816.50/x
3. Step 3: Cross multiply
   83,182.50x = 178,816.50 × 178,816.50
4. Step 4: Simplify right side
   83,182.50x = 31,975,340,672.25
5. Step 5: Solve for x
   x = 31,975,340,672.25/83,182.50
6. Step 6: Final answer
   x = 384,399.85