Finding the Third Proportional to 83,548 and 179,240

Step by Step Solution

1. Step 1: Write the proportion equation
   83,548 : 179,240 = 179,240 : x
2. Step 2: Convert to fraction form
   83,548/179,240 = 179,240/x
3. Step 3: Cross multiply
   83,548x = 179,240 × 179,240
4. Step 4: Simplify right side
   83,548x = 32,126,977,600
5. Step 5: Solve for x
   x = 32,126,977,600/83,548
6. Step 6: Final answer
   x = 384,533.17