Finding the Third Proportional to 78,233 and 168,259

Step by Step Solution

1. Step 1: Write the proportion equation
   78,233 : 168,259 = 168,259 : x
2. Step 2: Convert to fraction form
   78,233/168,259 = 168,259/x
3. Step 3: Cross multiply
   78,233x = 168,259 × 168,259
4. Step 4: Simplify right side
   78,233x = 28,311,091,081
5. Step 5: Solve for x
   x = 28,311,091,081/78,233
6. Step 6: Final answer
   x = 361,881.70