Finding the Third Proportional to 82,363 and 180,485.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,363 : 180,485.50 = 180,485.50 : x
2. Step 2: Convert to fraction form
   82,363/180,485.50 = 180,485.50/x
3. Step 3: Cross multiply
   82,363x = 180,485.50 × 180,485.50
4. Step 4: Simplify right side
   82,363x = 32,575,015,710.25
5. Step 5: Solve for x
   x = 32,575,015,710.25/82,363
6. Step 6: Final answer
   x = 395,505.45