Finding the Third Proportional to 83,424 and 181,536

Step by Step Solution

1. Step 1: Write the proportion equation
   83,424 : 181,536 = 181,536 : x
2. Step 2: Convert to fraction form
   83,424/181,536 = 181,536/x
3. Step 3: Cross multiply
   83,424x = 181,536 × 181,536
4. Step 4: Simplify right side
   83,424x = 32,955,319,296
5. Step 5: Solve for x
   x = 32,955,319,296/83,424
6. Step 6: Final answer
   x = 395,034.03