Finding the Third Proportional to 82,873.50 and 181,420

Step by Step Solution

1. Step 1: Write the proportion equation
   82,873.50 : 181,420 = 181,420 : x
2. Step 2: Convert to fraction form
   82,873.50/181,420 = 181,420/x
3. Step 3: Cross multiply
   82,873.50x = 181,420 × 181,420
4. Step 4: Simplify right side
   82,873.50x = 32,913,216,400
5. Step 5: Solve for x
   x = 32,913,216,400/82,873.50
6. Step 6: Final answer
   x = 397,150.07