Finding the Third Proportional to 83,124 and 181,800

Step by Step Solution

1. Step 1: Write the proportion equation
   83,124 : 181,800 = 181,800 : x
2. Step 2: Convert to fraction form
   83,124/181,800 = 181,800/x
3. Step 3: Cross multiply
   83,124x = 181,800 × 181,800
4. Step 4: Simplify right side
   83,124x = 33,051,240,000
5. Step 5: Solve for x
   x = 33,051,240,000/83,124
6. Step 6: Final answer
   x = 397,613.69