Finding the Third Proportional to 83,478 and 179,100

Step by Step Solution

1. Step 1: Write the proportion equation
   83,478 : 179,100 = 179,100 : x
2. Step 2: Convert to fraction form
   83,478/179,100 = 179,100/x
3. Step 3: Cross multiply
   83,478x = 179,100 × 179,100
4. Step 4: Simplify right side
   83,478x = 32,076,810,000
5. Step 5: Solve for x
   x = 32,076,810,000/83,478
6. Step 6: Final answer
   x = 384,254.65