Finding the Third Proportional to 83,504 and 179,152

Step by Step Solution

1. Step 1: Write the proportion equation
   83,504 : 179,152 = 179,152 : x
2. Step 2: Convert to fraction form
   83,504/179,152 = 179,152/x
3. Step 3: Cross multiply
   83,504x = 179,152 × 179,152
4. Step 4: Simplify right side
   83,504x = 32,095,439,104
5. Step 5: Solve for x
   x = 32,095,439,104/83,504
6. Step 6: Final answer
   x = 384,358.10