Finding the Third Proportional to 83,520.75 and 182,116.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,520.75 : 182,116.50 = 182,116.50 : x
2. Step 2: Convert to fraction form
   83,520.75/182,116.50 = 182,116.50/x
3. Step 3: Cross multiply
   83,520.75x = 182,116.50 × 182,116.50
4. Step 4: Simplify right side
   83,520.75x = 33,166,419,572.25
5. Step 5: Solve for x
   x = 33,166,419,572.25/83,520.75
6. Step 6: Final answer
   x = 397,103.95