Finding the Third Proportional to 82,597.50 and 180,364.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,597.50 : 180,364.50 = 180,364.50 : x
2. Step 2: Convert to fraction form
   82,597.50/180,364.50 = 180,364.50/x
3. Step 3: Cross multiply
   82,597.50x = 180,364.50 × 180,364.50
4. Step 4: Simplify right side
   82,597.50x = 32,531,352,860.25
5. Step 5: Solve for x
   x = 32,531,352,860.25/82,597.50
6. Step 6: Final answer
   x = 393,853.96