Finding the Third Proportional to 82,722 and 181,186.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,722 : 181,186.50 = 181,186.50 : x
2. Step 2: Convert to fraction form
   82,722/181,186.50 = 181,186.50/x
3. Step 3: Cross multiply
   82,722x = 181,186.50 × 181,186.50
4. Step 4: Simplify right side
   82,722x = 32,828,547,782.25
5. Step 5: Solve for x
   x = 32,828,547,782.25/82,722
6. Step 6: Final answer
   x = 396,853.89