Finding the Third Proportional to 82,824.50 and 181,920.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,824.50 : 181,920.25 = 181,920.25 : x
2. Step 2: Convert to fraction form
   82,824.50/181,920.25 = 181,920.25/x
3. Step 3: Cross multiply
   82,824.50x = 181,920.25 × 181,920.25
4. Step 4: Simplify right side
   82,824.50x = 33,094,977,360.06
5. Step 5: Solve for x
   x = 33,094,977,360.06/82,824.50
6. Step 6: Final answer
   x = 399,579.56