Finding the Third Proportional to 83,508 and 179,160

Step by Step Solution

1. Step 1: Write the proportion equation
   83,508 : 179,160 = 179,160 : x
2. Step 2: Convert to fraction form
   83,508/179,160 = 179,160/x
3. Step 3: Cross multiply
   83,508x = 179,160 × 179,160
4. Step 4: Simplify right side
   83,508x = 32,098,305,600
5. Step 5: Solve for x
   x = 32,098,305,600/83,508
6. Step 6: Final answer
   x = 384,374.02