Finding the Third Proportional to 78,424 and 168,231

Step by Step Solution

1. Step 1: Write the proportion equation
   78,424 : 168,231 = 168,231 : x
2. Step 2: Convert to fraction form
   78,424/168,231 = 168,231/x
3. Step 3: Cross multiply
   78,424x = 168,231 × 168,231
4. Step 4: Simplify right side
   78,424x = 28,301,669,361
5. Step 5: Solve for x
   x = 28,301,669,361/78,424
6. Step 6: Final answer
   x = 360,880.21