Finding the Third Proportional to 83,142 and 179,596

Step by Step Solution

1. Step 1: Write the proportion equation
   83,142 : 179,596 = 179,596 : x
2. Step 2: Convert to fraction form
   83,142/179,596 = 179,596/x
3. Step 3: Cross multiply
   83,142x = 179,596 × 179,596
4. Step 4: Simplify right side
   83,142x = 32,254,723,216
5. Step 5: Solve for x
   x = 32,254,723,216/83,142
6. Step 6: Final answer
   x = 387,947.41