Finding the Third Proportional to 83,355 and 182,520.75

Step by Step Solution

1. Step 1: Write the proportion equation
   83,355 : 182,520.75 = 182,520.75 : x
2. Step 2: Convert to fraction form
   83,355/182,520.75 = 182,520.75/x
3. Step 3: Cross multiply
   83,355x = 182,520.75 × 182,520.75
4. Step 4: Simplify right side
   83,355x = 33,313,824,180.56
5. Step 5: Solve for x
   x = 33,313,824,180.56/83,355
6. Step 6: Final answer
   x = 399,661.98