Finding the Third Proportional to 84,038 and 179,200

Step by Step Solution

1. Step 1: Write the proportion equation
   84,038 : 179,200 = 179,200 : x
2. Step 2: Convert to fraction form
   84,038/179,200 = 179,200/x
3. Step 3: Cross multiply
   84,038x = 179,200 × 179,200
4. Step 4: Simplify right side
   84,038x = 32,112,640,000
5. Step 5: Solve for x
   x = 32,112,640,000/84,038
6. Step 6: Final answer
   x = 382,120.47