Finding the Third Proportional to 82,875.75 and 181,424.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,875.75 : 181,424.25 = 181,424.25 : x
2. Step 2: Convert to fraction form
   82,875.75/181,424.25 = 181,424.25/x
3. Step 3: Cross multiply
   82,875.75x = 181,424.25 × 181,424.25
4. Step 4: Simplify right side
   82,875.75x = 32,914,758,488.06
5. Step 5: Solve for x
   x = 32,914,758,488.06/82,875.75
6. Step 6: Final answer
   x = 397,157.90