Finding the Third Proportional to 78,823 and 169,310

Step by Step Solution

1. Step 1: Write the proportion equation
   78,823 : 169,310 = 169,310 : x
2. Step 2: Convert to fraction form
   78,823/169,310 = 169,310/x
3. Step 3: Cross multiply
   78,823x = 169,310 × 169,310
4. Step 4: Simplify right side
   78,823x = 28,665,876,100
5. Step 5: Solve for x
   x = 28,665,876,100/78,823
6. Step 6: Final answer
   x = 363,674.01