Finding the Third Proportional to 83,520 and 179,184

Step by Step Solution

1. Step 1: Write the proportion equation
   83,520 : 179,184 = 179,184 : x
2. Step 2: Convert to fraction form
   83,520/179,184 = 179,184/x
3. Step 3: Cross multiply
   83,520x = 179,184 × 179,184
4. Step 4: Simplify right side
   83,520x = 32,106,905,856
5. Step 5: Solve for x
   x = 32,106,905,856/83,520
6. Step 6: Final answer
   x = 384,421.77