Finding the Third Proportional to 40,333.50 and 83,245.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,333.50 : 83,245.50 = 83,245.50 : x
2. Step 2: Convert to fraction form
   40,333.50/83,245.50 = 83,245.50/x
3. Step 3: Cross multiply
   40,333.50x = 83,245.50 × 83,245.50
4. Step 4: Simplify right side
   40,333.50x = 6,929,813,270.25
5. Step 5: Solve for x
   x = 6,929,813,270.25/40,333.50
6. Step 6: Final answer
   x = 171,812.84