Finding the Third Proportional to 82,595.25 and 181,012.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,595.25 : 181,012.50 = 181,012.50 : x
2. Step 2: Convert to fraction form
   82,595.25/181,012.50 = 181,012.50/x
3. Step 3: Cross multiply
   82,595.25x = 181,012.50 × 181,012.50
4. Step 4: Simplify right side
   82,595.25x = 32,765,525,156.25
5. Step 5: Solve for x
   x = 32,765,525,156.25/82,595.25
6. Step 6: Final answer
   x = 396,699.87