Finding the Third Proportional to 78,182 and 168,940

Step by Step Solution

1. Step 1: Write the proportion equation
   78,182 : 168,940 = 168,940 : x
2. Step 2: Convert to fraction form
   78,182/168,940 = 168,940/x
3. Step 3: Cross multiply
   78,182x = 168,940 × 168,940
4. Step 4: Simplify right side
   78,182x = 28,540,723,600
5. Step 5: Solve for x
   x = 28,540,723,600/78,182
6. Step 6: Final answer
   x = 365,054.92